KERALA GANITHA SASTHRA PARISHAD
KOTTAYAM
SOUVENIR2017
tIc-f-¯n KWn-X-¯n-\p-thïn Hcp kwL-S-\-bp-ïm-bn. AXmWv tIm«bw tIµ-am¡n ]hÀ¯n-¡p¶ tIcf KWn-X-im-kvX ]cn-j-¯v. hnZymÀ°n-I-fp-sSbpw A²ym-]-I-cp-sSbpw c£-IÀ¯m-¡-fp-sSbpw hÀ²n-¨p-h-cp¶ ]n´pW Afhp tImem-¡n-bm 16 hÀjw ]n¶n-Sp¶ Cu kwL-S\ hf-cp-I-X-s¶-bm-Wv. skI-«dn io. än.-BÀ cmPsâ t\Xr-Xz-¯n GXm\pw A²ym-]-IÀ ]Xn-^-teÑ IqSmsX cm¸-I ]b-Xv\n-¡p¶Xnsâ ^e-amWv Cu kwL-S-\. AXn\v AhÀ¡p e`n-¡p¶ DuÀÖw hÀ²n-¨p-h-cp¶ P\-]n-´p-W-bmWpXm\pw.
Smeâv tkÀ¨v FIvkm-an-t\-j³ (MTSE) shdpw Hcp aÕ-c-¸-co-£-b-Ã. Ht¶m ctïm anSp-¡-·msc Isï¯n k½m\w sImSp¯p hnSm-\p-Å-X-à CXv. kph-\o-dn sImSp-¯n-cn-¡p¶ enÌp-t\m-¡n-bm \qdp-I-W-¡n\v kvtImfÀjn¸v
tPXm-¡-fpsS t]cp ImWmw. kzImcy kvIqsft¶m kÀ¡mÀ kvIqsft¶m t\m¡msX CBSE Ft¶m ICSE Ft¶m thÀXn-cn-hn-ÃmsX hnZymÀ°n-Isf H¶mbn Iïv Ahsc KWn-X-¯n-te-¡m-IÀjn-¡p-I-bmWv ]cn-j-¯nsâ e£yw.
_me-K-Wn-X-im-kvX-tIm¬K-Ên Ip«n-IÄ Ah-X-cn-¸n-¡p¶ t]mP-IvSp-I-fpsS \ne-hmcw Bscbpw AXn-i-bn-¸n-¡p-¶-Xm-Wv. Bg-¯n-epÅ ]T\w Bh-iy-s¸-Sp¶ hnj-b-§-fmWv t]¸À ]k-tâ-j\v sImSp-¡m-dp-Å-Xv. A²ym-]-I-tcmSv tNmZn-¨-dnªpw ]pkvX-I-§Ä tXSn-¸n-Sn¨p hmbn¨pw Ip«n-IÄ Ah-X-cn-¸n-¡p¶ ]T-\-§Ä XnI¨pw amXr-Im-]-c-amsW ¶mWv hn[n-IÀ¯m-¡Ä A`n-]m-]-b-s¸-Sp-¶-Xv.
KWn-X-imkvX ]cn-j-¯nsâ hnhn[ ]cn-]m-Sn-I-fn ]s¦-Sp-¡p¶ hnZymÀ°n-IÄ tKkvamÀ¡v ]Xo£nt¨m henb k½m-\-¯pI tamlnt¨m hcp-¶-h-c-Ã. am[y-a-§-fn AX henb ]»n-knän e`n-¡m-dp-an-Ã. ]ns¶t´ Ahsc Chn-tS-¡m-IÀjn-¡p-¶Xv? XnI¨pw KWn-X-¯n-epÅ Xmev]cyw Xs¶. Ch-cmWv bYmÀ° ]Xn-`-IÄ, Ch-cn-emWv KWn-X-¯nsâ `mhn, F¶v R§Ä Ah-Im-i-s¸-Sp-¶Xv AXp-sIm-ïm-Wv.
]cn-j-¯nsâ ]cn-]m-Sn-I-fn hninjvSmXnYn-I-fm-sb-¯p¶ sshkv Nm³k-eÀamcpw PnÃm If-IvSÀamcpw PUvPn-am-cp-sams¡ Cu kwL-S-\-bpsS ]hÀ¯-\-s§-¸än tNmZn-¨-dn-bm-dp-ïv. kÀ¡mÀ CXc GP³kn-I-fnÂ\n¶pw hÃ-t¸mgpw e`n-¡p¶ [\-k-lm-bhpw MTSE tNmZy-_m¦v hnäp-In-«p¶ sNdnb em`hpw amX-amWv ]cn-j-¯nsâ hcp-am-\-amÀK-sa¶p tIÄ¡p-t¼mÄ Ah-scms¡ AÛp-X-s¸-Sp-¶Xv Rm³ ImWp-¶p.
Ah-km-\-ambn Ip«n-I-tfmSv Hcp hm¡v. Ign-bp-¶X KWn-X-]p-kvX-I-§Ä tXSn-¸n-Sn¨v hmbn-¡p-I. \n§Ä¡v IW-¡n Xmev]cyw hÀ²n-¡pw. KWnXimkvX-Ú-·m-cpsS IY tI«m \n§Ä AÛp-kvX_v[cm-Ipw. 2 F¶ kwJy s]®pw 3 BWp-am-bn-cp¶p ss]Y-tKm-d-kn-\v. kwJy-Isf ssZh-§-fmbn Bcm-[n-¡p¶ Hcp aXw At±lw Øm]n-¨p. temIs¯ BZy KWn-X-im-kvX-Ú-bmb lnt¸jy AXn-Zm-cp-W-am-bmWv sImÃ-s¸-«-Xv. AXn kpµ-cn-bm-bn-cp¶ Ah-cpsS tZl-¯p-\n¶pw amwkw Npc-§n-sb-Sp-¡p-Ibpw ssIIm-ep-IÄ sh«n Xobn-en-Sp-Ibpw sNbvXp. GZm ehvtekv BIs« Iym³kÀ _m[sb XpSÀ¶v acp-¶p-IÄ e`n-¡msX \odn \odn acn-¡p-I-bm-bn-cp-¶p. KmÂh-sb 21-þmw hb-kn ]mco-knse sXcp-hoYn-bn-en«v t]¸-«nsb sImÃpw-t]mse ASn-¨p-sIm-¶p. BÂ_À«v sF³Ìosâ kplr-¯m-bn-cp¶ IpÀ«v tKmU ]«n-Wn-In-Sp¶p acn-¨p. lnäve-dpsS tIm¬k³tS-j³ Iym¼n InS-¶mWv Smj³_ÀKv Xsâ "kv]oUn AcnXv saänIv' Iïp-]n-Sn-¨-Xv. t]¸tdm t]\tbm In«m-\n-Ãm¯ At±lw Inb-I-sfÃmw a\-Ên IW¡p Iq«p-I-bm-bn-cp-¶p. skäv Xnb-dn-bpsS D]-Úm-Xm-hmb tPmÀPv ImâÀ `m´m-ip-]-Xn-bn InS-¶mWv acn-¨Xv. F´n-t\sd ]d-bp-¶p, \½psS io\n-hmk cmam-\p-Psâ Imcy-¯n-em-hs« ]ptcm-ln-X-·mÀ kl-I-cn-¡m-ªXp aqew At±-l-¯nsâ ac-Wm-\-´c NS-§p-IÄ BNm-c-hn-[n-]-Imcw \S-¯m³ t]mepw Ign-ªn-Ã. A§s\ FX-sbX IY-IÄ! F¶m Cu bmX-\-IÄ¡n-S-bnepw Ch-cmcpw KWn-Xs¯ ssIhn-«n-Ã. Ah-cpsS ZpxJ-§Ä imkvX-¯nsâ hfÀ¨-bv¡pÅ hf-am-hp-I-bm-bn-cp-¶p.
]ma-ct\m ]WvUn-Xt\m BI-s«, KWn-Xs¯ kvt\ln-¡p¶ GhÀ¡pw KW-Xn-im-kvX-]-cn-j-¯n-te¡p kzmK-Xw.
KWn-X-¯n\pthïn Hcp kwL-S\þ Fw. BÀ. kn. \mbÀ
Vice President: Sri Jochan Kuncheria(Run Book, USA)Joint Secretary : Smt. A. S. valsamma(Rtd. Principal, GVHSS, Nattakom)
Sri. EP Raghavan Pillai(State President)
Sri. T.R. Rajan(General Secretary)
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EXECUTIVE COMMITTEEPresident Sri E. P. RAGHAVAN PILLAI (Rtd. AEO, Changanacherry) General Secretary : Sri. T. R. RAJAN(Former DSMA Secretary, Rtd. H. M, NGC Dist Co-ordinator, State Secretary , EECS,District Co-ordinator, National Childrens Science Congress)Patrons : Sri. Thiruvanchoor Radhakrishnan MLASri Jacob Joseph (Ex. General Manager , Supplyco)Smt. Radha V Nair (FormerPresident, Dist Panachayath, KTM)Smt. Lathika Subash (Former President, Dist Panchayat, KTM)Sri Biji Kurian, Chief Reporter, Desabhimani, KTMAdv. K. Anilkumar (Ex. Edu. Standing Comm. Chairman, Dist. Panchayat KTM)Adv. V. B. Binu (M. D., Janayugam)Sri. M R C Nair (Famous Mathematiacian & Writer)Dr. Parameswara Kurup (President, Homeo Sasthra Vedi)Prasannan Anickad (President Cartoon Academy)Dr. M. S. Samuel (Rtd. Prof & HOD of Maths. Baselious College, KTM)Prof. P. C. Alias (Director, Goodsheperd P.S. Thengana, Chry)Sri P. P. Thankachan (Asst. Audit Officer, A G’ S Office, TCR.)Sri. Palliara Sreedharan (Director, Balasahithya Institute)Sri. A K karunakaran Nair (Rtd. H M & Manager, Perambra HSS, KZ)Prof. Joseph Thomas (Principal, Baker Vidyapeedh, KTM)ADVISORY BOARDDr. E. Krishnan (Formerly HOD of Maths, University College, TVM.)Dr. C. Sheela, Vice Principal, FISAT, Angamaly.Dr. Siby Varghese, Scientist, Rubber Board, KottayamDr. K. M. Kurian (St. Thomas College, Pala)Dr. Sunil C. Mathew (St. Thomas College, Pala)Prof. N. Sivasankaran (Rtd. Professor, NSS Engg. College, PKD)Sri. Unnikrishnan M V (GHS, Kumbala, KSD)Sri. V. Venugopalan (SRG Maths & HM Govt. HS Pulappatta, PKD)Sri. C V Kunhabdulla, Rtd. Teacher, MIUPS, Kuttiady, KZSri. Prakash. K, (Rtd. Teacher, State Award Winner, Vatakara, KZ)Sri. R. Sankarankutty (Member SRG Maths, Alappuzha)Sri. Siby Antony (President PGTA)Sri. K.P. Sureshkumar (HM, GVHSS, Kanakkary, KTM)Smt. Jeesper Jolly John S R, (GUPS, Nemom, TVM)Sri. S.A. Sajikumar (HM, GLPS, Mevada)Smt. Magi T. J (Head Mistress, KAUHS, Vellanikkara, TCR)Smt. P. Geetha (St. Paul’s EMHS, Thenhipalam)Smt. Ajitha T, SNPS , KollamSmt. Manjusha P. M. (CS UPS, Madappally)Sri. Anish R. Nair (SRKGVM HSS, Puranattukara, TCR)Smt. Marykutty Mathew (Carmel GHSS, TVM)Smt. Lizzy Joseph (GHSS, Pattikkad, TCR)Smt. S. Sujatha (R. R. V. GHS, Kilimanoor, TVM)Smt. Vijaya C K, Bhavan’s VM, Elamakkara, KochiSmt. Rajani A, METEMHSS, Palakkad Smt. Niceymol Abraham, BMMEMS, Pampady, KTMSri. Harikumar V S, Headmaster, SRKGVMHSS, TCRSmt. Lekha R, Mannarasala UPS, AlappuzhaSri. P Radhakrishnan, Chinmaya Vidyalaya, TCRSmt. Jyolsna K P, Kendriya Vidyalaya, KZSmt. Gisha Vinod, Vidyodaya School, KochiSmt. P Beenakumari NSSHSS, KottayamSmt. S. Asha Kumari, NSS HSS, KidangoorSmt. Lincy Antoo, St. Antony SHSS, Pudukkad, TCRMrs. Ushakumari C, Marian SSS, KTMMrs. Sonia George, Vimala Pub. School, ThodupuzhaMrs. Gracy C A, Principal, St. Gemma’s GHSS, MLPMrs. Mariamma Xavier, De Paul HSS, KuravilangadMrs. Savitha V K, Moothedath HS, KannurMr. Sureshkumar K K, Rajagiri CJPS, EKMMrs. Ajuna Shaji MarBaselious PS, KTMMrs. Jimy C Powathel, St. John’s School, Anchal, KollamMTSE State Co-ordinators :Sri. P J Joseph (Mathlab, TVM) , Sri. R. Venugopal & Smt. Suman John
kwÿm\ _me-K-WnXimkvX tIm¨K v
kvtImf¿jn∏v hnX-cWw
io\n-hm-k-cm-am-\p-P≥ ]pc-kvImc hn-X-cWw
io. H. Ip™n-Ir-jvW≥am-ÿ kvamcI KWn-X-imkvX Iznkv,
kΩm-\-Zm\w
am\y-sc,
tIcf KWn-X-im-kvX-]-cn-£Øv tIc-f-Ønse GXm\pw KWn-X-im-kvXm-≤ym-]-IcpwKWn-XsØ kvt\ln-°p∂ HcpIq´w Bfp-Ifpw t\XrXzw \¬Ip∂ Hcp ]ÿm-\-am-Wv. 2002 ¬ tIm´bw Bÿm-\-am°n ]h¿Ø\w Bcw- n® Cu kwL-S\ C∂v tIc-f-Øn-ep-S-\ofap≈ kvIqfp-I-fn¬ Ip´n-Isf ]s¶-Sp-∏n®v hnhn[ a’c ]cn-]m-Sn-Ifpw a’c]co-£-Ifpw \S-Øn-h-cp-∂p. tIc-fm, kn.-_n.-F-kv.-C., sF.-kn.-F-kv.C kne-_- p-I-fn¬]Tn-°p∂ Bbn-c-°-W-°n\p Ip´n-Ifpw A≤ym-]-Icpw Rß-fpsS Cu ]cn-]m-Sn-I-fn¬kPo-h-ambn ]s¶-Sp-°p-∂p.
Ign-™-h¿jw R߃ \S-Ønb ]cn-]m-Sn-I-fpsS hni-Zmw-i-ßfpw Cu h¿jw \S-Øm-\p-t±-in-°p∂ ]cn-]m-Sn-I-sf-∏-‰n-bp≈ hnh-c-ßfpw Cu kph-\o-dn¬ Dƒs°m-≈n-®n-cn-°p-∂p.
apJy-[m-c-bnse qcn-]£w tImgvkp-I-fnse ]T-\-Øn\pw H´p-an° ]co-£-I-fnse Xnf-°-am¿∂ ]I-S-\-Øn\pw hnP-b-Øn\pw \n¿Æm-bI kzm[o-\-ap≈ KWn-X-Øn\v AXn-\¿l-amb ÿm\w hnZym- ymk taJ-e-bn¬ t\Sn-sb-Sp-°m≥ R߃ ]Xn⁄m _≤-cm-Wv. Cu e£yw km£m-Xv°-cn-°p-∂-Xn\v R߃ \S-Øn-s°m-≠n-cn-°p∂ F√m \qX\I¿Ω ]cn-]m-Sn-Iƒ°pw XpS¿∂pw \nß-tf-h-cp-tSbpw klmbkl-I-cW߃ D≠m-I-Ww F∂v A`y¿∞n-®p-sIm≠pw tPXm-°sfbpw ]s¶-Sp-Ø-h-tcbpw A`n-\-µn-®p-sIm-≠pw,
hnPbmiw-k-I-tfmsS,
C.-]n. cmL-h≥]n≈ ‰n.-B¿. cmP≥
(kw-ÿm-\-]knU‚ v) (P-\. skI- -dn)
maXv
2 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 3
2 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 3
4 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 5
4 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 5
6 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 7
6 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 7
8 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 9
8 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 9
10 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 11
10 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 11
12 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 13
12 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 13
14 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 15
14 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 15
16 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 17
kΩ
m-\-Zm
\ N
S-ßns
‚ t
^mt
´m B
h-i
y-s∏
--h
¿°
v
-¬A
Xv e
`y-a
m-Wv.
16 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 17
18 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 19
c≠ns‚ Iq´-ambv am‰n-Sm-hp-∂XmwkwJy-I-ft√m Cc-´-IfvH∂n-S-hn-´p≈ ]q¿Æamw kwJy-bn¬s]´o-Sp-sa-√m-an-c-´-Ifpw
"H∂n¬' XpS-ßp∂ _m°nbmw kwJy-IƒH‰-I-sf-∂Xpw Hm¿Øo-SpI"H∂v' Hgn-sI-bp≈ H‰-Isf c≠n≥Iq´-ß-fm-°n-bm¬ an®w hcpw.
F¥n-sXm-cm-›¿øw I≠nSp \nßfoH‰-Iƒ Im´oSpw hnIn-b-IƒH‰bmw tPmUn-X≥ Iq´p-sI-´n¬e`y-am-Ip-∂-Xn-c´ kwJy
H‰-Iƒ "H‰bv°v' IqSn-bmtemH‰-Iƒ "H‰-bmbv' \n∂o-Sp∂pA©psamtcgpsamscm≥]Xpw IqSn-bm¬In´p∂ kwJy-b-sXm‰ Xs∂
tPmUn-bm-bo-Snepw H‰-bmbv IqSnepwCc-´-I-sf-√m-an-c-´-Xs∂c≠p-samcp \mep-am-dXpw IqSn-bm¬In´p∂ kwJy-bn-c-´-bt√m?
Fs´∂ kwJybpw ]Øp-an-cp-]XpwIqSn-bm¬ In´p-an-c´ kwJys]´-b-Xm-bmepw H‰-bm-bo-SnepwkwJy-I-sf√mw \ap°p anXw.
H‰-I-fm-tbmcpw s]´-I-fm-tbmcpwGI-ambv tN¿∂ßp \n∂o-Sp-tºmƒH∂p-ap-X-seÆpw kwJy-I-sf-√mtaFƬ kwJym-K-W-am-bo-Sp-∂p.
"\nk¿K-kw-Jym-KW'sa∂p≈ t]cnepwFƬ kwJy-Iƒ ]Np-c-atXB\m-a-sa-ß-\p-≠mbosX-∂m¬Cuiz-c≥ Xs‚ hc-]-kmZw.
A[n-kwJy \yq\-ß-sf-∂n-hbpwH‰-bn-c-´-I-fn¬s∏Sp-∂p.]qPyamw kwJy-bn-c-´-sb∂vKWn-X-im-kvXPvR≥ ]cn-K-Wn-∏q.
--F. Fkv. h’-Ω,
H‰-bn-c-´-Iƒ(K-Wn-X- I-hnX)
18 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 19
20 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 21
20 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 21
KWn-X-hm-Xm-b\w
tIc-f-K-WnX imkvX ]cn-jØv apX¬ ]¥-≠p-hsc ¢m p-I-fnse Ip´n-Iƒ°pth≠n ]kn-≤o-I-cn-°p∂ ssKUpIƒ°v Xmsg-]-d-bp∂ _p°vkvdv-dm-fpIfp-ambn _‘-s∏-SpI
22 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 23
\º¿. Fw (4) 102621-/2004 hnZym-`ymk Ub-d-IvS-dpsS Imcym-e-bw.Xncp-h-\-¥-]p-cw,XobXn : 7˛3-˛2005
s]mXp hnZym-`ymk Ub-d-IvS¿io. ‰o. B¿. cmP≥,skI-´-dn, tIcf KWn-X-imkvX ]cn-j-Øv,Fkv.-F-®v.-au≠v ]n.-H., tIm´bw
k¿,
hnjbw: a’-c-]-co-£-Iƒ \S-Øp-∂-Xn-\p≈ A\p-hm-Z-Øn-\m-bp≈ At]-£.
kqN\ : skI-´-dn-bpsS 6˛12-˛2004-˛se IØv.
kqN\ IØn-tebv°v Xm¶-fpsS i≤ £Wn-°p-∂p. Xm¶-fpsS At]£ ]cn-tim-[n-®p. kvIqƒ A[n-Ir-Xsc t\cn¬ kao-]n®pw Bh-iy-amb ]c-ky-߃ \¬Inbpw sSÃv\S-Øm-hp-∂-Xm-Wv.
hniz-kvX-X-tbmsS,
s]mXp-hn-Zym-`ymk Ub-d-IvS¿°p-th≠n
hnhml kmcn-I-fpsS h≥tiJcw
I√ym-W-km-cn-IƒNpcn-Zm¿ sa‰o-cn-b¬kv
cm[m-IrjvWlm≥Uveqwkv
tlmƒsk-bn¬ap\n-kn-∏¬ tImwπIvkv, kn tªm°v
Fw.-F¬.-tdm-Uv, tIm´bw
t^m¨ ˛ 2580266
22 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 23
17- maXv amXvkv Sme‚v tk¿®vkvtImf¿jn∏v FIvkm-an-t\-j≥
(kw-ÿm-\sØ apX¬ 12 hsc ¢m p-I-fnse Ip´n-Iƒ°p-th≠n \S-Øp-∂-Xv)
tIcf KWn-X-imkvX ]cn-j-Øns‚ B`n-ap-Jy-Øn¬ ]Xn-hp-t]mse Cu h¿jhpw
tIc-f-Ønse tÉv, kn.-_n.-F-kv.-C., sF.-kn.-F-kv.-C. kne-_- p-I-fn¬ ]Tn-°p∂ Ip´n-Iƒ°p-
th≠n amXvkv Sme‚ v tk¿®v kvtImf¿jn∏v FIvkm-an-t\-j≥ \SØp-∂-Xm-Wv.
Cu ]co£ kwÿm-\sØ apgp-h≥ kvIqfp-I-fnepw \S-Øp-∂-Xn\v A\p-aXn X∂p-sIm≠v
_lp. s]mXp hnZym-`ymk Ub-d-IvS¿ X∂n-´p≈ IØpw Cu kph-\o-dn¬ ]kn-≤o-I-cn-
®ncn°p∂p.
apX¬ 12 hsc ¢m p-I-fn¬ GXp kne-_-kn¬ ]Tn-°p∂ Ip´n°pw R߃ \S-
Øp∂ Cu a’c ]co-£-bn¬ ]s¶-Sp-°mw. Hmtcm ¢m n\pw sht∆sd ]co£ \SØn
Xøm-dm-°p∂ dm¶v enÃn¬ \n∂mWv tPXm-°sf Is≠-Øp-∂-Xv. HgnsI Cw•ojv
aoUn-b-Øn\pw ae-bmfw aoUn-b-Øn\pw ]tXyIw ]tXyIw dm¶ven-Ãp-Iƒ D≠m-Ipw. IqSmsX
kn.-_n.-F-kv.-C.bv°pw ]tXyIw dm¶v enÃv D≠m-bn-cn-°pw. AXm-bXv samØw 36 dm¶p
enÃp-Iƒ. F√m dm¶v enÃp-I-fnepw 1 apX¬ 10 hsc dm¶v t\Sp-∂-h¿°m-bn-cn°pw
kvtImf¿jn∏pw a‰v ]mcn-tXm-jn-I-ßfpw \¬Ip-I. IqSmsX H∂mw-dm-¶p-Im¿°v kz¿Æ-]-X-
°hpw \¬In hcp-∂p. 10-˛mw dm¶n\p sXm´p-Xmsg FØp∂ Ip´n-Iƒ°v t]m’m-l\ kΩm-
\-ßfpw e`n-°pw. ss^\¬ ]co-£-bn¬ Htc dm¶n¬ H∂n-e-[nIw t]¿ h∂m¬ ]ohn-bkv
]co-£-bpsS am¿°p-IqSn dm¶p \n¿W-b-Øn\v ]cn-K-Wn-°p-∂-Xm-Wv. At∏mgpw XpeyX
XpS¿∂m¬ \dp-°n-´mhpw dm¶p-tP-Xm-°sf sXc-s™-Sp-°p-I. hnZKv[ kan-Xn-bpsS ta¬t\m-
-Øn-emhpw dm¶v \n¿Æ-bw. kan-Xn-bpsS Xocp-am\w A¥n-a-am-bn-cn-°pw. CXn≥ta¬ bmsXmcp
hn[ ]p\¿hn-Nn-¥-\-Øn\pw ]cn-jØv Xøm-dm-hp-I-bn√ F∂ Imcyw _lp. c£n-Xm-°-
tfbpw A≤ym-]-I-tcbpw Ip´n-I-tfbpw Adn-bn-°-s´. kwÿm-\-X-e-Øn¬ Xß-fpsS Ip´n-I-
fp-tSbpw kvIqfn-t‚bpw am‰p-c-bv°m≥ e`y-am-bncn°p∂ Cu Akp-e` kµ¿`w \nß-tf-hcpw
]c-am-h[n ]tbm-P-\-s∏-Sp-ØWsa∂v A`y¿∞n-°p-∂p.
]co-£-bpsS kne-_kv
Hmtcm ¢m nepw \hw-_¿ amkw 30˛mw XobXnhsc ]Tn-t°≠ ]mT- m-K-ß-fn¬ \n∂mWv
tNmZy-߃ Xøm-dm-°p-∂-Xv. AXp-sIm-≠p-Xs∂ kv°qfn¬ ]Tn-∏n-°p∂ ]mT- m-K-߃ icn°p
]Tn-°p∂ GXp Ip´n°pw Cu ]co-£-bn¬ ]s¶-SpØv A\m-bmkw dm¶p t\Smw. IqSmsX
R߃ Hmtcm ¢m n\pw th≠n sht∆sd ]kn-≤o-I-cn-®n-cn-°p∂ ssKUp-Ifpw ]T-\-Ønepw ]co-£-bnepw ap≥\n-c-bn-se-Øp-∂-Xn\v Ip´n-Iƒ°v klm-b-I-c-am-Ipw.
24 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 25
a‰p-≈-h¿
BsI tNmZy-߃ 30 50 BsI tNmZy-߃ 25BsI am¿°v 30 50 BsI am¿°v 25BsI kabw 1 aWn-°q¿ 1 aWn-°q¿ BsI kabw 1 aWn-°q¿
]mY-anI ]co-£-bn¬ Hmtcm Ip´n°pw e`n-°p∂ am¿°v ]cn-tim-[n®v kwÿm-\-X-e-
Øn¬ hne-bn-cpØn Hmtcm ¢m nepw 1 apX¬ 5 hsc dm¶p-t\-Sp∂ F√m Ip´n-I-tfbpwss^\¬ ]co-£-bn¬ ]s¶-Sp-∏n-°pw. ss^\¬ ]co-£-bn-te°v sXc-s™-Sp-°-s∏-Sp∂ Ip´n-I-fpsS Pn√ Xncn-®p≈ enÃpw ]co£m sk‚-dn -s\-∏-‰n -bp≈ hniZ hnh-c-ßfpw ¬ P\p-hcn c≠mw hmcw ]kn-≤o-I-cn-°p-∂-Xm-Wv.ss^\¬]co-£-bn¬ kwÿm-\-X-e-Øn¬ 1 apX¬ 10 hsc dm¶p t\Sp-∂-h¿°mWv ]Xn-hp-t]mseCu h¿jhpw kvtImf¿jn-∏p-Ifpw a‰p ]mcn-tXm-jn-I-ßfpw \¬Ip-I. IqSmsX Ccp ]co-£-I-fnepw 80% \pta¬ am¿°v t\Sp-∂-h¿°v tKUv tcJ-s∏-Sp-Ønb k¿´n- n-°-‰p-Ifpw \¬Ipw.
tSm∏v kvtImtdgvkv Ahm¿Uvkwÿm-\-Xe dm¶p-I-sfm∂pw t\Sm≥ Ign-bmØ ]co-£m-sk‚¿ e`n®n´p≈ kvIqfp-
I-fnse ]co£ Fgp-Xnb G‰hpw ka¿∞-\mb Hcp Ip´n°v Ah¿ t\Snb am¿°ns‚ASn-ÿm-\-Øn¬ \¬Ip∂ Imjv Ahm¿Upw k¿´n- n-°-‰p-amWv tSm∏v kvtImtdgvkv Ahm¿Uv.
]co£m tIµ-߃25 Ip´n-I-sf-sb-¶nepw ]s¶-Sp-∏n-°p∂ ]o ss]adn/ss]adn kv°qfn\pw 50 Ip´n-I-sf-
sb-¶nepw ]s¶-Sp-∏n-°p∂ F®v.-F-kv./F®v.-F-kv. F n\pw ]co£m sk‚¿ A\p-h-Zn-°pw.CXn¬ Ipdhv Ip´n-Itfbp≈qsh¶n¬ cPn-kvtS-j\v th≠ At]£ skI-´-dn-bpsS]tXyI A\p-aXn -e-`n-®m¬ amXta Ab-bv°m-hq.
]co-£-I-fpsS Xob-Xnbpw ka-bhpw
2017 Unkw-_¿ 1, D®-I-gn™v 2.30 apX¬ 4 hsc
: 2018 P\p-hcn 20, D®-I-gn™v 2.30 apX¬ 3.30 hsc
]co£m ^okv 50 cq]
(tIcf kne-_-kv) 50 cq]
60 cq]
]mY-anI ]co-£-bpsS \S-Øn∏pw sNe-hp-IfpwIp´n-I-fn¬\n∂pw hmßp∂ ]co£m okns‚ BsI XpI-bpsS 20% _‘-s∏´ A≤ym-
]-I-t\m, kvIqƒ tae[nIm-cntbm kq£n-®p-h-bvt°-≠-Xm-Wv. Cu XpI ]mY-anI ]co£m\S-Øn-∏n¬ kl-I-cn-°p∂ A[ym-]-I¿°v kq∏¿hn-j≥ Ae-h≥kv \¬Ip-∂-Xn\pw Ip´n-
24 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 25
Iƒ°v d^v h¿°v sNøm-\p≈ ssh‰v t]∏¿ hmßp-∂-Xn\pw t]mì Nm¿÷v C\-Øn-epw]co-£m-lmƒ Iao-I-c-W-Øn\pw th≠n amXw hn\n-tbm-Kn-t°-≠-Xm-Wv. CXp Ign®v _m°n-h-cp∂ 80% XpI, skI-´-dn, tIcf KWnX imkvX ]cn-jØv F∂ t]cn¬ tIm´-bØv/aW¿Im´v amdm-hp∂ hn[-Øn¬ Un.-Un. FSptØm Btbm tIc-f-K-Wn-X-im-kvX-]-cn-j-Øns‚ AU- n¬ At]-£-tbm-sSm∏w Ab®p XcWw. IqSmsX Ab®-Xns‚ ckoXvAt]-£m-t^m-an-t\m-sSm∏w \n¿_-‘-ambpw ]n≥sN-bvXn-cn-°-Ww. bpsS \ºdpwXpIbpw Xob-Xnbpw At]-£m-t^m-an¬ \n¿_-‘-ambpw tcJ-s∏-Sp-Øn-bn-cn-°-Ww). 5000cq] hscbp≈ XpI Bbn´mWv Ab-bv°p-∂-sX-¶n¬ IΩoj≥ Ign®v _m°n-Xp-I-amXw Ab-®m¬ -a-Xn.
ssKUp-Iƒ°p≈ Hm¿U¿t^mapw ]Whpw bmsXmcp Imc-W-h-imepw CtXm-sSm∏w Ab-bv°-cp-Xv. AXv skI-´-dn, aW¿ImSv ]n.-H., tIm´bw˛686019, F∂ hnem-k-Øn¬amXw Ab-bv°p-I.
cPn-kvtS-j≥ \S-tØ≠ hn[wCsXm-sSm∏w \¬In-bn-cn-°p∂ At]£m t^md-Øn-tem, AXns‚ t^mt´m tIm∏n-bn-
tem, sh≈-°-S-em-kn¬ hc®v Xøm-dm-°nb t^md-Øntem BWv ¢m pw aoUn-bhpw Xncn-®p≈ Ip´n-I-fpsS enÃv Xøm-dm-t°-≠-Xv. Ip´n-I-fpsS FÆw IqSp-X-em-sW-¶n¬ At]£mt^md-Øns‚ c≠mw t]Pns‚ amXw t^mt´mtIm∏n Bh-iym-\p-k-cWw FSpØv D]-tbm-Kn-°p-I. Hmtcm ¢m n-tebpw Ip´n-I-fpsS t]cp-Iƒ H∂n-s®-gp-Xm≥ ]tXyIw i≤n-°-Ww.IqSmsX Cw•ojv aoUnbw Ip´n-I-fp-tSbpw ae-bmfw aoUnbw Ip´n-I-fp-tSbpw t]cp-Iƒ CS-I-e¿Øn Fgp-Xm-Xn-cn-°m\pw ]tXyIw i≤n-°pI. AXn¬ \n¿±n-jvS-ÿ-eØv kvIqƒ tIm˛-Hm¿Un-t\-‰-dpsS t]cpw t^m¨ \ºdpw \n¿_-‘-ambpw tcJ-s∏-Sp-Øn-bn-cn-°-Ww.kvIqfns‚ AU v˛ ]n≥tIm-Upw, t^m¨ \ºdpw bpw klnXw hfsc hy‡-ambnFgp-Xm\pw ]tXyIw i≤n-°p-I.
Hcp kvIqfn-te°v Bh-iy-ap≈ tNmZy-t]-∏-dp-I-fpsS FÆw C\w Xncn®v tcJ-s∏-Sp-Ønb enÃpw \n¿±njvS t^m¿am-‰n¬ tcJ-s∏-SpØn At]£m t^md-tØm-sSm∏w \n¿_-‘-ambpw Ab-®n-cn-°-Ww. A-t]£m t^md-Øns‚ amXrI KWn-X-im-kvX-]-cn-j-Øns‚sh_vssk-‰n¬ () e`y-am-Wv.At]£ Ab-bvt°≠ hnemkw
P\: skI-´dn, tIcf KWn-X-im-kvX-]-cn-j-Øv, aW¿Im-Sv ]n.-H., tIm´bw ˛ 686019.(t^m¨ : 9447806929) F∂ hnem-k-Øn¬ cPn-kvtSUv X]m-entem kv]oUv t]mÃntemamXw At]£ Ab®p Xcn-I. (sIm-dn-b¿ k¿∆o-kn¬ Ab-°-cp-Xv.)
c£n-Xm-°ƒ t\cn-´-b-bv°p∂ At]£ bmsXmcp Imc-W-h-imepw R߃ ]cn-K-Wn-°p-∂-X-√.
]tXyI i≤bv°v: cPn-kvtS-j-\p≈ At]-£bpw ^okpw tIm´-bØp aW¿Im´vImhn≥]-Sn-bn-ep≈ KWn-X-imkvX ]cn-j-Øns‚ Hm^o-kn¬ t\cn´pw \¬Imw. t\cn´p\¬Ip-∂-h¿ Ahn-sS-\n∂pw e`n-°p∂ ckoXv \n¿_-‘-ambpw kq£n®p hbv°-Ww.
cPn-kvtS-j≥ Bcw- n-°p∂ XobXn 2017 Pq¨ 6
cPn-kvtS-j≥ \S-tØ≠ Ah-km\ XobXn 2017 HIvtSm-_¿ 20, 5
26 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 27
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26 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 27
IqSp-X¬ kvtImf¿jn∏v Ic-ÿ-am-°p∂ kvIqfp-Iƒ°v tSm^nIfpw ]ikvXn ]X-hpw.
IqSp-X¬ kvtImf¿jn∏v Ic-ÿ-am-°p∂ Kh./ FbvUUv kvIqfpIƒ°v ]tXyItSm^nbpw ]ikvXn ]X-hpw.
_me-K-WnXimkvX tIm¨K- n¬ \n∂v sXc-s™-Sp-°p∂ anI® So®¿ ssKUp-Iƒ°v 501 cq] hoXw Imjv Ahm¿Upw ]ikvXn ]X-hpw.
kwÿm-\sØ anI® \mev KWn-X-imkvX A[ym-]-I¿°v io\n-hm-k-cm-am-\p-P≥]pc-kv°mcw (1001 cq]m hoXw Imjv Ahm¿Upw inev]hpw ]ikvXn ]X-hpw.)
Pyman-Xob ]q°-f-a-’-c-Øn¬ hn`m-K-ß-fn¬\n∂pw 1 apX¬ 3hsc ÿm\w t\Sp-∂-h¿°v bYm-Iaw 500-cq, 300-cq, 200cq hoXw Imjv Ahm¿Up-Ifpwk¿´n- n-°-‰p-I-fpw.
io H. Ip™n-Ir-jvW≥ amÿ kvamcI kwÿm-\-Xe ¬ hnP-bn-I-fm-Ip-∂-h¿°v tSm^n-Ifpw k¿´n-^n-°-‰p-I-fpw.
Isø-gpØp amkn-Im-a-’-c-Øn¬ 1 apX¬ 3 hsc ÿm\w t\Sp-∂-h¿°v bYm-Iaw500-cq, 300-cq, 200cq hoXw Imjv Ahm¿Up-Ifpw k¿´n-^n-°-‰p-Ifpw \¬Ipw.
Ahm¿Uv Zm\w]Xn-t\gmaXv _me-K-Wn-tXm-’-h-Øn-t\m-S-\p-_-‘n®v kwÿm-\-Øns‚ hnhn[ `mK-
ß-fn¬ \ns∂-Øp∂ Bbn-c-°-W-°n\v hnZym¿∞n-I-tfbpw A[ym-]-I-tcbpw c£n-Xm-°-tfbpw km£n-\n¿Øn-bmWv ]Xn-hp-t]mse Cu h¿jhpw dm¶p tPXm-°ƒ°v Ahm¿UpIƒ\evIp-∂Xpw Ahsc A\p-tam-Zn-°p-∂-Xpw.
17˛maXv kwÿm\ _me-K-Wn-X-imkvX tIm¨K vKWn-X-imkvX ]cn-j-Øns‚ B`n-ap-Jy-Øn¬ hfsc hnP-b-I-c-ambn \S-∂p-h-cp∂
kwÿm-\ _me-K-Wn-X-imkvX tIm¨K v InkvXp-akv Ah-[n-°m-eØv Cu A[y-b\h¿jhpw ]q¿∆m-[nIw `wKn-bmbn \S-Øp-∂-Xm-Wv. ss]adn hn`m-Kßfpw sslkvIqƒ hn`m-Kßfpw lb¿sk-°-≠dn hn`m-Kßfpw Xmsg sImSp-Øn-cn-°p∂ hnj-b-ß-fn-emWv Kth-jW t]mP-IvSp-Iƒ Xøm-dm°n Ah-X-cn-∏n-t°-≠-Xv.
hn`mKw : (kwJym ]mt‰-Wp-Iƒ) hn`mKw : (kwJy-I-fpsS A¤p-X-
temIw) (Ben -∏ -g -kw -Jy -Iƒ)
Ccp -Zn -i -kw-Jy -Iƒ) kaq-l-kw-Jy-Iƒ) (UqUv\n kwJy-Iƒ)
hn`mKw : (sZ°m¿sØ-bpsS Pohn-Xhpw At±-l-Øns‚ kw`m-h-\-Ifpw)
hn`mKw :ta¬ ImWn-®n-cn-°p∂ hnj-b-ßsf A[n-I-cn®v t]mP-IvSp-Iƒ Xøm-dm°n Ah-X-cn-∏n-
°mw. t]∏-dn¬ 30 t]Pn¬ A[n-I-cn-°msX Xøm-dm-°nb t]mPIvSv dnt∏m¿´v hrØn-bmbn ssIsIm-s≠-gp-Xn-b-tXm, Iw]yq-´-dn¬ ]n‚p sNbvXtXm Bbn-cn-°-Ww. dnt∏m¿´ns‚H∂mw t]Pn¬ kvIqƒ tae-[n-Im-cn-bpsS km£y-]-Xw, Kq∏v t]mP-IvSm-sW-¶n¬ Kq∏nse
28 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 29
a‰p Ip´n-I-fpsS t]cp-hn-h-cw, ¢m v, So®¿ ssKUns‚ t]cv, So®-dns‚ t^m¨ \º¿ XpS-ßn-bh \n¿_-‘-ambpw tcJs∏-Sp-Øn-bn-cn-°-Ww.
Xmsg sImSp-Øn-cn-°p∂ cPn-kvtS-j≥ t^mw ]q¿Æ-ambn ]qcn-∏n®v t]mPIvSv dnt∏m¿´p-ItfmsSm∏w 2017 \hw-_¿ 10 \p apºv P\-d¬ skI-´-dn-bpsS t]cn¬ Ab-®p-sIm-Sp-°-Ww.Cu dnt∏m¿´p-Iƒ ]cn-tim-[n-®mWv _me-K-Wn-X-imkvX tIm¨K- n¬ ]s¶-Sp-°m≥ tbmKy-X-bp≈ Ip´n-Isf sXc-s™-Sp-°p-∂-Xv. sXc-s™-Sp-°-s∏-Sp∂ Ip´n-I-fpsS t]cp-hn-hcw \hw-_¿ 15-˛\p apºv _‘-s∏-´-hsc Adn-bn-°pw. a’-c-Øn¬ ]s¶-Sp-°p-∂-Xn\v cPn-kvtS-j≥^okv C√. aq∂p hn`m-K-ß-fnepw s]´ hnP-bn-Iƒ°v k¿´n-^n-°-‰p-Ifpw 2000 cq], 1000 cq],500 cq] Ia-Øn¬ Imjv Ahm¿Upw e`n-°pw. IqSmsX a’-c-Øn-te°v sXc-s™-Sp-°-s∏-Sp∂ F¬.-]n., bp.-]n., F®v.-F-kv., F®v.-F-kv.-F-kv. hn`mKw t]mP-IvSp-I-fpsS sXc-s™-Sp-°-s∏-Sp∂ So®¿ ssKUp-Iƒ°v 501 cq] hoXw Imjv Ahm¿-Upw ]ikvXn ]Xhpw \¬Ipw.IqSmsX ]s¶-Sp-°p∂ F√m-h¿°pw ]m¿´n-kn-t∏-j≥ k¿´n- n-°‰pw e`n-°pw. (Kh-s◊‚n¬\nt∂m CXc GP≥kn-I-fn¬\nt∂m Km‚ v e`n-°p∂ ]£w ap≥h¿j-ß-fn-se-t∏mse Cuh¿jhpw ]cn-]m-Sn-bn¬ ]s¶-Sp-°p-∂-h¿°v bmX-∏Sn bpw IqSp-X¬ sa®-s∏´ Imjv Ahm¿Upw\¬Ip-∂-Xm-Wv).
dnt∏m¿ v Ah-X-cn-∏n-°p-tºmƒ i≤n-t°≠ Imcy-߃1. Kq∏v eoU-dmWv dnt∏m¿ v Ah-X-cn-∏n-t°-≠-Xv. Ah-X-cWw Cw•o-jntem ae-bm-f-Øntem
BImw. dnt∏m¿´v Ah-X-cn-∏n-°p-∂-Xn\v apt∂m-Sn-bmbn Ah-Xm-c-I≥ kzbw ]cn-N-b-s∏-Sp-tØ-≠-Xm-Wv.
28 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 29
2. A\m-hiy hnh-c-W-߃ Hgn-hm-°-Ww. t]mP-IvSns‚ t]cv, Kth-jW ^e-Øn-te°v\bn® hnhn[ L´-߃ XpS-ßn-bh Npcp-ßnb hm°p-I-fn¬ Ggp an\n-‰n\p≈n¬ Ah-X-cn-∏n-°-Ww. t]mPIvSv Ah-X-cWw tIhew dnt∏m¿ v hmb\ BIm-Xn-cn-°m≥ ]tXyIwi≤n-°p-I.
3. dnt∏m¿´-h-X-c-W-Øn\v ]h¿t]m-bn‚ v ]k-t‚-j≥ kuIcyw e`y-am-bn-cn-°pw. (Nm¿´p-Iƒ thW-sa-∂n-√.)
4. aqey-\n¿Æ-b-Øns‚ am\-Z-WvU-߃
t]mPIvSv dnt∏m¿´n\v e`n-°m-hp∂ ]c-am-h[n am¿°v: 30 am¿°v
Hgp-t°mSpw Nn´-tbmSpw IqSnb ]`m-j-W-Øn\v: 30 am¿°v
PUvP-kn-t‚bpw ImWn-I-fmb Ip´n-I-fp-sSbpw tNmZy-߃°v
\evIp∂ Xr]vXn-I-camb adp-]-Sn°v: 20 am¿°v Zriy-am-[y-a-ß-fpsS ^e-]-Z-amb D]-tbm-K-Øn\v: 20 am¿°v
BsI 100 am¿°v
5. Hcmƒ°v e`n-°p∂ ]c-am-h[n kabw
dnt∏m¿´v Ah-X-c-W-Øn\v ]c-am-h[n e`n-°p∂ kabw: 7 an\n´v
tNmtZym-Øc thfbv°v 3 an\n´v
BsI 10 an\n v
6. timXm-°ƒ°v ]tXyI kΩm\wtNmtZym-Øc thf-bn¬ i≤m-]q¿∆w ]s¶-SpØv A¿∞-h-Ømb \√ tNmZy-߃ tNmZn-
°p∂ timXm-°-fmb 3 Ip´n-Iƒ°v ]tXyI kΩm\w \¬Ip-∂-Xm-Wv.
CXc a’-c-ßfpw ]h¿Ø-\-]-cn-]m-Sn-Ifpw
1. io H. Ip™n-Ir-jvW≥ amÿ kvamcI kwÿm\Xe Iznkv a’cw
kΩm-\-Zm-\-N-S-ßnt\mS-\p-_-‘n®v Cu h¿jhpw hn`m-K-ß-fnse tPXm-°-fmb Ip´n-Iƒ°v th≠n Hcp KWn-X-imkvX Izn v a’cw \S-Øp∂XmWv. ]cojFgp-Xnb GXp Ip´n°pw CXn¬ ]s¶-Sp-°mw. ap≥Iq¿ cPn-kvtS-j≥ Bh-iy-an-√. hnP-bn-Iƒ°v tSm^n-Ifpw k¿´n-^n-°‰pIfpw \¬Ipw.
2. Isø-gpØp amknIm a’cw
kvIqƒ Ip´n-Iƒ°p-th≠n Cu h¿jhpw kwÿm-\-X-e-Øn¬ Isø-gpØp amkn-Im-a-’cw \SØn kΩm-\-߃ \¬Ipw. t]∏-dn¬ 50 t]Pn¬ A[n-I-cn-°msX Hcp hi-Øp-amXw FgpXn Xøm-dm-°nb amkn-I-Iƒ Unkw-_¿ 31 \v apºv skI-´-dn-bpsS t]cn¬ Ab-®p-sIm-Sp-°-Ww. KWn-X-hp-ambn _‘-s∏´ cN-\-I-fm-IWw amkn-I-bpsS D≈-S-°w.
3. Pyman-Xob ]q°-f-a-’cw
kwÿm-\sØ tIc-f, kn.-_n.-F-kv.-C., sF.-kn.-F-kv.C kvIqfp-I-fn¬ \S-°p∂ HmWm-tLm-j-ß-tfm-S-\p-_-‘n®v tIcf KWn-X-im-kvX-]-cn-jØv Iebpw IW°pw ktΩ-fn-°p∂hyXy-kvX-am-sbmcp ]q°-f-a-’cw Cu h¿jhpw \S-Øp-∂-XmWv. kvIqfp-I-fnse KWn-X-imkvX A[ym-]-I-cpsS ta¬t\m-´-Øn-em-hWw a’cw kwL-Sn-∏n-t°-≠-Xv. hnhn[ tPymsa-
30 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 31
Sn-°¬ ]mt‰-Wp-Iƒ Zriy-h¬°-cn-°p∂ coXn-bn¬ h¿Æ-]p-jv]-߃ sIm≠p-thWw ]q°fw\n¿Ωn-°m≥. IS-em v ]q°fpw πmÃnIv ]q°fpw a’-c-Øn\v D]-tbm-Kn-°m≥ ]mSn-√. HcpSoan¬ ]c-am-h[n 5 t]¿°p hsc ]s¶-Sp-°mw. a’c kabw aq∂p-a-Wn-°q¿. bp.-]n., sslkvIqƒ,lb¿sk-°-≠dn hn`m-K-߃°v ]tXyI a’cw \S-Ø-Ww. Hmtcm hn`m-K-Ønepw H∂mwÿm\w t\Sp∂ ]q°-f-ß-fpsS hen∏-Øn-ep≈ If¿ t^mt´m-Iƒ kwÿm-\-Xe a’-c-Øn-\-b-bv°mw. t^mt´m-I-fpsS adp-h-iØv Soanse AwK-ß-fpsS t]cp-Ifpw ¢mkpwkvIqfpw tcJ-s∏-Sp-Øn-bn-cn-°-Ww. t^mt´m-Iƒ kvIqƒ tae-[n-Im-cn-bpsS km£y-]XwklnXw skI-´-dn-bpsS t]cn¬ c≠m-gvN-°Iw Ab-®p-sIm-Sp-°-Ww. kwÿm-\-X-e-Øn¬BZysØ aq∂p ÿm\-߃ hsc t\Sp∂ aq∂p hn`m-K-ß-fnepw s]´ SoapIƒ°v ImjvAhm¿Up-Ifpw k¿´n-^n-°‰pIfpw e`n-°pw.
4. skan-\m-dp-Ifpw inev]-im-e-I-fpw
F√m Pn√-I-fnepw KWn-X-im-kvX A≤ym-]-I¿°p-th≠n skan-\m-dp-Ifpw inev]-im-eIfpwkwL-Sn-∏n-°pw. IqSmsX F√m Pn√-I-fnepw ¢mkv FSp-°p-∂-Xn\v s‚ Hcp]m\¬ D≠m-°m\pw Dt±-i-ap-≠v. Ch¿°p≈ Dƒs∏sS-bp≈ F√m Nne-hp-Ifpw KWn-X-im-kvX-]-cn-jØv \¬Ipw. kvIqfp-I-fn¬ ]Tn-∏n-°p∂ A[ym-]-I¿°v ]tXyI ]cn-io-e-\-]-cn-]m-Sn-Iƒ \S-Øm\pw Dt±-i-ap-≠v. ]cn-]m-Sn°p t\XrXzw\¬Im≥ Xøm-dp-≈-hcpw ]s¶-Sp-°m≥ Xmev]-cy-ap-≈-hcpw DSs\ skI-´-dn-bp-ambn _‘-s∏-Sp-I.
5. KWn-X-imkvX KŸ-ß-fpsS ]kn-≤o-I-c-Whpw hnX-c-W-hpw.
KWn-X-imkvX taf-I-fnepw Iznkv a’-c-ß-fnepw CXc a’-c-]-co-£-I-fnepw A\m-bmkw ]s¶-SpØv kΩm-\-߃ t\Sm-\p-X-Ip∂ ]pkvX-I-߃ ]kn-≤o-I-cn-°m\pw AØcw]pkvX-I-߃ a‰v ]km-[-I-cn¬ \n∂v tiJ-cn®v hnX-cWw sNøm\pw Dt±-in-°p-∂p. cN\mssh`-h-ap-≈-hcpw ]km-[-Icpw DS≥ skI-´-dn-bp-ambn _‘-s∏-Sp-I.
H∂p apX¬ ]¥-≠p-h-sc-bp≈ F√m ¢m p-I-fn-te°pw R߃ ssKUp-Iƒ
]kn-≤o-I-cn-®n-´p-≠v. ssKUp-Iƒ Bh-iy-s∏-Sp-∂-h¿°v ]mgvk-embn Ab®p sImSp°p∂-Xm-Wv. Hmtcm ¢m n\pw ]tXyIw ]tXyIw ssKUp-I-fmWv ]kn-≤o-I-cn-®n-cn-°p-∂-Xv. 50¬ IqSp-X¬ tIm∏n-Iƒ hmßp∂ kvIqfp-Iƒ°pw, hy‡n-Iƒ°pw 20% UnkvIu≠v \¬Ip-∂-Xm-Wv. 50 ¬ Ipdhv ]pkvX-I-߃ hmßp-∂-h¿°v Cu kuP\yw e`n-°p-∂-X√. IqSmsXF√m Pn√-I-fn-ep-ap≈ _p°v Ãmfp-Iƒ°pw BI¿j-I-amb UnkvIu-≠n¬ _p°p-Iƒ hnev]-\bv°v e`n-°p-∂-Xp-am-Wv. hni-Z-hn-h-c-߃°v skI-´-dn, aW¿ImSv ]n.H., tIm´bw ˛686019, t^m¨: 9495538322 F∂ hnem-k-Øn¬amXw _‘-s∏-Sp-I. hne-hn-hcw Hm¿U¿t^man¬ sImSp-Øn-´p-≠v. (t]Pv 20 ImWp-I)
30 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 31
tIcf KWn-X-imkvX ]cn-jØns‚ B`n-ap-Jy-Øn¬ 2017˛¬ \S-Ønb io. H. Ip™n-Ir-jvW≥ amÿ kvamcI KWn-X-imkvX
Iznknse tNmZy-ßfpw DØ-c-ßfpwIznkvam-ÿ io. kn. hn. Ip™-_vZp-≈, Ip‰ymSn
apX¬ hsc XpS¿®-bmbn Fgp-Xp-tºmƒ A`m-Py-kw-Jy-Iƒ D≠v. F∂m¬ apX¬ hsc Fgp-Xp-tºmƒ FX `mPy-kw-Jy-Iƒ D≠v?
kwJy Hgn-sI-bp≈ LS-I-ß-fpsS XpI ]c-kv]cw Xpey-ambn hcp∂ kwJy-Isf kulr-Z-kw-Jy-Iƒ F∂v hnfn-°p-∂p. G‰hpw sNdnb tPmSn \pw \pw CS-bn-em-Wv. Hcp kwJy Bbm¬ at‰ kwJy GXv?
Cu ]mt‰-Wn¬ ]Øm-asØ hcn-bnse Ah-km-\sØ kwJy GXv? G‰hpw sNdnb aq∂° ka-anX kwJy BWv. F¶n¬ G‰hpw henb aq∂° ka-
anX kwJy GXv?
πkvSp Ign™ hnZym¿∞n-I-fpsS BsI hb v BWv. F∂m¬ h¿jw apºvAh-cpsS BsI hb v FX?
Hcp kwJysb Bdv sIm≠v lcn-°p-tºmƒ Dw sIm≠v lcn-°p-tºmƒ Dw sIm≠vlcn-°p-tºmƒ Dw sIm≠v lcn-°p-tºmƒ Dw sIm≠v lcn-°p-tºmƒ Dw injvSwhcp-∂p. Cßs\ hcp∂ G‰hpw sNdnb kwJy GXv?
Hcp Xoh≠n aWn-°q¿ ka-bw-sIm≠v Intem-ao-‰¿ Zqcw k©-cn-°p-∂p. F¶n¬AtX thK-X-bn¬ aWn-°q¿ an\n´v sIm≠v FX Zqcw k©-cn°pw?
c≠v kwJy-I-fpsS icm-icn . kwJy-Iƒ XΩnep≈ hyXymkhpw F¶n¬ Ah-bn¬ sNdnb kwJy GXv?
FX?
Bbm¬ s‚ hne FX?
Cu tiWn-bnse ASpØ kwJy GXv?
s‚ s‚ FX iX-am-\-Øn\v Xpey-am-bn-cn°pw?
Cu h¿jw G]n¬ i\n-bm-gvN-bmWv F¶n¬ ASpØ h¿jw am¿®v GXv Znh-k-am-bn-cn-°pw.
32 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 33
BsW-¶n¬ FX?
ASpØ kwJy GXv?
Bbm¬ \v BsI FX LS-I-߃ D≠v?
A`m-Py-kw-Jy-I-fpsS XpI Bbm¬ Ah-bn¬ G‰hpw sNdnb kwJy GXv?
\pw \pw CS-bn-ep≈ Htc kabw ]q¿Æ-h¿§hpw ]q¿Æ-L-\-hp-amb Htc-sbmcp kwJy GXv?
Bfp-I-fp≈ Hcp Kq∏n¬ F√m-hcpw ]c-kv]cw lkvX-Zm\w sNøp-∂p. F¶n¬ BsIFX lkvX-Zm-\-߃ \S-∂n-cn-°pw.
Iyq_v BIr-Xn-bn-ep≈ ]mX-Øn¬ en‰¿ sh≈w sIm≈pw. F¶n¬ B ]mX-Øns‚Dbcw FX?
C∂p ]Nm-c-Øn-ep≈ F√m Id≥kn t\m´p-Ifpw hoX-sa-Sp-Øm¬ BsI XpI FX?
FX?
FX? DØcw tdma≥ A°-Øn¬ ]d-bpI?
F∂nh hyXykvX A°-ß-fmWv Bbm¬ FX?
Ct∏mƒ kabw aWn BsW-¶n¬ aWn-°q¿ Ign-™m¬ kabw FX?
Bbm¬ FX?
Cu KpW\ e-ß-fpsS XpI Ffp-∏-h-gn-bn¬ ImWm≥ s\GXv kwJy-sIm≠v KpWn-°Ww?
FX?
Hcp NXp-c-Øn-\p-≈n¬ Htc Bc-ap≈ Bdv hrØ-߃ D≠v. F∂nhhrØ-tI-µ-ß-fm-Wv. hrØ-Øns‚ Bcw 2 sk.-ao. hoX-am-sW-¶n¬ NXp-c-Øns‚ ]c-∏-fhv FX?
-Cu tiWn GXp t]cn-emWv Adn-b-s∏-Sp-∂-Xv.
-I\-Im-\p-]mXw
32 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 33
ap≥ h¿j-ß-fnse io\n-hm-k-cm-am-\p-P≥ Ahm¿Uv tPXm-°ƒ
KWn-X-]-T\w ck-I-c-am-°p∂ GXm\pw ]pkvX-I-߃cN\ : Fw. B¿. kn \mb¿ t^m¨: 9447432262
1. kv]oUv amXvam‰nIvkv, kvam¿´v ssa≥Uv _pIvkv, sIm√w2. ] n¬kv, D¨a ]_vfn-t°-j≥kv, \qd-\mSv3. a’-c-∏-co-£-Iƒ°p≈ KWnXw, Un.-kn. _pIvkv, tIm´bw4. IW-°nse A©v A¤p-X-߃, Nn¥ ]ªn-t°-j≥kv, Xncp-h-\-¥-]pcw5. KWnX imkvX \nL-≠p, Un.-kn. _pIvkv, tIm´bw6. IW°p ]Tn°mw amPn-°n-eq-sS, Io¿Øn _pIvkv , sIm√w7. 1001 KWnX Iznkv, Io¿Øn _pIvkv, sIm√w8. ¢m nse IW-°v ho´nse IW-°v, Nn¥ ]ªn-tjgvkv , Xncp-h-\-¥-]pcw9. IW-°p≈ IY-Iƒ, Io¿Øn _pIvkv, sIm√w10. 100 Ipkr-Xn-°-W-°p-Iƒ, Nn¥ ]ªn-tj-gvkv, Xncp-h-\-¥-]pcw11. KWnX ambm-Pm-ew, ]q¿Æ ]_vfn-t°-j≥kv, tImgn-t°mSv
34 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 35
MTSE dm¦v tP-Xm-¡fm-b Ip-«n-I-fp-sS e-`yamb t^m-t«m-IÄ Xm-sg sIm-Sp-¡p¶p.FÃm-h-cp-tS-bpw t^m-t«m-IÄ e-`y-am-Im¯-Xp sIm-ïv ]-kn-²o-I-cn-¡m³
I-gn-bm-sX h-¶-Xn tJ-Zn-¡p¶p.
LKG
UKG
Mukand K. R.TDEM Nursery & P.S., ALP
Neethu SasikumarMMAR Chengannur, ALP
Navaneeth PGLPS Mararikulam, ALP
Fareeh ThayyibFazl-E-Omar P.S., KNR
Anna SalimSt. Andrews EMUPS, Kundara, KLM
Akhil Mohammed ShaijuSDA HSS, PTA
Ajith Gee VargheseSDA HSS, PTA
Albin Mon K. A.MTLPS, Athikayam, PTA
Adai Dev S.Vivekananda VM, Vaikom
Lakshmi JayanMaria Mondessori C.S., ALP
Adwaith SGLPS, Inchakkad, KLM
Ishan K. V.GLPS, Mararikulam, ALP
Arjun AnilMattom St. John's HSS, ALP
Amalay ManeeshVivekananda P S, Kurumulloor
34 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 35
Aleenamol K. A.MTLPS, Athikayam, PTA
Alfi RoyUrusuline SSS, KNR
Akhila P RahimNNMUPS, Karalmanna, PKD
Ranimol MathewSt. Thomas UPS, Kurumulloor, KTM
Nagiya Sherin M KAUPS, Velliyanchery, MLP
Abhinav TGLPS, Vattenad, PKD
Lakshmiparvathi S. P.GVHSS, Kallara, TVM
Sreelakshmi S.GLPBS, Kidangoor, KTM
Amal R. S.Kurunthodi UPS, KZ
BhagathKurunthodi UPS, KZ
Devatheertha S.St. Antony's JBS, Vadakara, KZ
Diya SuseelGLPS, Inchakkadu, Kollam
V Maithili NathGLPS, Ranni, PTA
Alex JamesJames, St. Thomas LPS, Thomapuram, KSD
V. G. SivanigiriGUPS, Kumaranchira, Kollam
Parvathi M. V.Akliyath LPS, KNR
STD-IMal. Med.
STD-IIMal. Med.
STD-IIIMal. Med.
STD-IVMal. Med.
36 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 37
Pranav PGLPS, Edivanna Estate, MLP
Rithuvarna P RakeshVanivilasam LPS, KNR
Akhila PonnanGUPS, Parayakadu, ALP
Fathima SwalihaGVHSS, Vallenad, PKD
Lavanya P. V.GHSS, Trikaripur, KSD
Adarsh T.Devadhar GHSS, Tanur, MLP
Nidev K VGVHSS, Vattenad, PKD
Sreehari S. L.GHPS, Bharathannoor, TVM
Nicy P.AryaBharathi HS, Omallur, PTA
Abhijith G. RajGVHSS, Vattenad, PKD
Aravind S NairGUPS, Kongad, PKD
Jewel S.SDVGUPS, Neerkunnam, ALP
Aadila JasmineGMHSS, CU Campus, MLP
Aravind P.DGHSS, Tanur, MLP
STD-VMal. Med.
STD-VIIIMal. Med.
STD-IXMal. Med.
STD-VIMal. Med.
STD-VIIMal. Med.
STD-XMal. Med.
36 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 37
Nakshathra M. P.Bethany St. John's EHSS, TCH
Sidharth A. M.St. Andrews EMUPS, Kundara, KLM
Abhinav Chandran MMETEMHSS, Chelenkara, PKD
Nivedita RCarmel GHSS, TVM
Nithin KrishnaNSS EMUPS, Thonnallur, PTA
Aleena MartinSt. Thomas HS, Thumpoly ALP
Nihal Rahman M.MSt. Paul's EMHSS. MLP
Aleena APCarmel GHSS, TVM
Liya Raichel JacobMattom St. John's HSS, ALP
Shanil P.St. Paul's EMHSS, Thenhipalam, MLP
Ajeesh SamuelSt. Mary's LPS, Charumood, ALP
Mohammed Adhin K.METEMHSS, Chelenkara, PKD
Jnsina T PanickerSt. Andrews EMUPS Kundara
Anjana AneeshGracy Memo. LPS, Parathodu, KTM
Navaneeth S NairElamkavu LPS Ithithanam, KTM
Nibhish UllasNSS EMHSS, Perunna, KTM
STD-IEng. Med.
STD-IIEng. Med.
STD-IVEng. Med.
STD-IIIEng. Med.
38 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 39
Nandana S.CBM HSS, Nooranad, ALP
Anirudh P.Snathi Nikethan HSS, KZ
V Kalyani NathMt. Bethony EHSS, Mylapra, PTA
Anjali PTDHS, Thirumala, ALP
Sayand BabuMoothedath HSS, KNR
Lekshmipriya SIthithanam HSS, KTM
Arjun R VarrierVPAUPS, Vilayil Parappur, MLP
Nikhil RajSt. Ephren's UPS, Chirakadavu, KTM
Sreeja RMETEMHSS, Chelenkara, PKD
Niveditha K. P.AUPS, Verur, Kaladi, MLP
Krishna SudhishRRV GHSS, TVM
Nikhitha C. M.De Paul EMHSS, Choondal, TCR
ShyamkumarUPS, Vakathanam, KTM
Shiyas UmarVavar Memo. HS, KTM
Muhammed Nefin NavasSt. John's UPS, Veloor, KTM
Devadath M. B.St. John's EHSS, TCR
STD-VEng. Med.
STD-VIEng. Med.
STD-VIIIEng. Med.
STD-VIIEng. Med.
38 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 39
Sreelakshmi GNSS GHSS, Pandalam, PTA
Aneesh M AMMR HSS, Neeramankara, TVM
MeenakshiGHS, Naluchira, ALP
Anu Ranjini RNSGHS, Mannar, ALP
Gouri Krishna RIthithanam HSS, KTM
Agagha VijayanSt. Joseph ALGHS, KZ
Anand CGHSS, Avitanallur, KZ
Kalidas ManuMMRHSS, TVM
Sreenath KMETEMHSS, Chelenkara, PKD
Devulakshmi SCapt. NPPMVHSS, ALP
Lakshmi SanthoshSt. Joseph ALGHS, KZ
Jayasankar ShyamGracy Memo. HS, KTM
Anjana S BabuSMVHSS, Poonjar, KTM
Gayathri A SGGHSS, Cotton Hill, TVM
Vedavyas ManuMMRHSS, TVM
Thithikshunath RMETEMHSS, PKD
STD-XEng. Med.
STD-IXEng. Med.
STD-XIEng. Med.
Amal Krishnan KMETEMHSS, PKD
40 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 41
Midhila P.St. Michel's GHSS, KZ
A ThariqGVHSS, Alanallur, PKD
Snajana SabuIthithanam HSS, KTM
Adithya SujithMannam Mem. EMS, ALP
Arjun Hari P MUrsaline SSS, KNR
Reubun Elias George Mar Baselious PS, KTM
Joshua Thomas JohnMTCS, PTA
Athulya AniMMAR, Chengannur, ALP
Abhiseshta ASBHSS, Kurattikkad, ALP
Aadidev SSt. Michel's GHSS, KZ
Rose Evelyn RenjithVimala P S, Thodupuzha, KTM
Abhiram R NairNewman CS, PTA
Helen Tresa PiusJeevas CMICS, Aluva, EKM
Advaith KBVM, Elamakkara, EKM
Ayisha Diyamol A AJoe Mount PS, WD
Pavan B RaaiBVB, Chevayur, KZ
Suby Rachel MathewImmanuel MTCS, PTA
STD-ICBSE
STD-IICBSE
STD-XIIEng. Med.
40 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 41
Pranav Biju PBVB, Chevayur, KZ
Shreya Suresh St. John's School, Anchal, KLM
Albin FrancisSH HSS, Perunna, KTM
Aasish C JithuSNTCS, PKD
Ananya R NairKV, Kayamkulam, ALP
Rohit Sebastian JosephMar baseliaus PS, KTM
Harisankar AKV, EKM
Goutham CSNPS, Vadakevila, Kollam
Devapriya PradeepCJPS, Kakkanad, EKM
Aavani Raj SNEMUPS, Panoor, KNR
Reha RakeshCKM NSS Sr.SS, TCR
Christo Kurian ThomasSt. Aloysious LPS Athirampuzha
Madhavraj BAlleppy Angloe Academy, ALP
Liya BerlyMary Matha PS, TVM
Madhav ManuKV, KZ
Rishan Thomas KurianSt. Jude Global School KTM
STD-IVCBSE
STD-VCBSE
STD-VICBSE
STD-IIICBSE
42 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 43
Adithya Ramesh NambiarUrusuline SSS, KNR
Adwaith BennyBVM Elamakkara, EKM
Nykaj A KUrusuline SSS, KNR
Noel J ChandyGood Shephered PS, KTM
Pavan SSt. Vincent CMIRS, Pala, KTM
Sree Ram MadhavanBVM Poochatty, TCR
Amal BabuJNV Vadavathoor, KTM
Aathmaja AswiniAmrutha Vidyalayam, Kallarakadavu, PTA
Ashwin LijoSt. Jude Global School, KTM
R R KavineshMarian SSS, KTM
Akshay AnilSree Gokulam PS, TVM
Samuel George Thomas St. Jude Globals S KTM
Gadha SSt. Ann's P.S., Cherthala, ALP
Sammaya CSNEMUPS, Panoor, KNR
Sivaganga P NampoothiriSt. Antony's PS, Anakkal, KTM
Vighnesh J RChinmaya Vidyalaya, KTM
Ganesh JSNPS, Vadakkevila Kollam
Neeraj BMarian SSS, KTM
STD-VIICBSE
STD-VIIICBSE
42 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 43
Harikrishnan G KaimalMar Baelious PS KTM
Aswin B JayakrishnanSNPS, Kollam
Susan JosephRani PS, KZ
Sivalakshmy SBVM Kolaikad, PKD
SaigayathriChinmaya Vidyalaya, Chengannur
Vishunarayan K IBVM Poochatty, TCR
Aleena Mariam BensierSt. John's School, KLM
Jagan M JGoodshephered PS, KTM
Ivy Treesa SibySFS PS, KTM
Akshaya RameshJoe Mount PS, EKM
MoheekSt. John's School, Anchal, Kollam
Vignesh SSNPS, Kollam
Shyam SivadasBVM, Kollaikad, PKD
Namitha SHoly Spirit PS, KTM
STD-IXCBSE
STD-XCBSE
STD-XICBSE
STD-XIICBSE
44 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 45
16þma-Xv A-hmÀ-Uv Zm-\-N-S-§-p-I-fp-sS D-Zv-LmS-\w Pk-änkv sI.-än. tXmakv \nÀÆ-ln-¡p-¶p. kÀÆio Fw.-sP. tXma-kv, F.-Fkv. hÕ½, AUz. hn.-_n. _n\p, Fw.-BÀ.-kn. \mbÀ, kn.-hn. Ipª-_vZp-Å,
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Mr. Sureshkumar K KRajagiri Christhu Jayanthi Pub.
School, EKM
Mrs. Savitha V KMoothedath HS, Kannur
Mrs. Jimy C. PowathelSt. John's School, Anchal, Kollam
Mrs. Ajuna ShajiMar Baseliaus Pub. School,
Dvalokam, KTM
Srinivasa Ramanujan Awards
44 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 45
KWn-X-imkvX IznÊnsâ k½m-\-Zm-\w. io. kn.-hn. Ipª-_vZpÅ \nÀÆ-ln-¡p¶p
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46 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 47
MTSE kvtImfÀjn-¸p-IÄ io Dam-i-¦À ]kmZv (slUvam-ÌÀ, F³.-F-kv.-Fkv F¨v.-F-kv. B\n-¡mSv) hnX-cWw sN¿p-¶p)
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46 Kerala Ganitha Sasthra Parishad-Souvenir-2017 ................................................................................................. ................................................................................................. Kerala Ganitha Sasthra Parishad-Souvenir-2017 47
MTSE kvtImfÀjn-¸p-IÄ io Fw.-sP. tXmakv (]n³kn-¸Â, sk. tXmakv än.-än.-sF., ]mem) hnX-cWw sN¿p-¶p)
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48 Kerala Ganitha Sasthra Parishad-Souvenir-2017 .................................................................................................
io. H. Ipªn-¡r-jvW³ amÌÀ sat½m-dn-b amXvkv Iznkv-þIznkv amÌÀ: io kn.-hn. Ipª-_vZpÅ
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