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CLASS 10 BOARDS MATHS SOLUTIONS YEAR 2017 Download Doubtnut Today Ques No. Question 1 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 What is the common difference of an A P. in which Watch Free Video Solution on Doubtnut 2 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 The angle of elevation of the top Q of a vertical tower PQ from a point X on the ground is .From a point y 40 m vertically above X, the angle of elevation the top Q of tower is .Find the height of the tower PQ and the distance PX.(Use ) Watch Free Video Solution on Doubtnut 3 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 If a tower 30 m high, casts a shadow long on the ground, then what is the angle of elevation of the sun ? Watch Free Video Solution on Doubtnut 4 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 The probability of selecting a rotten apple randomly from a heap of 900 apples is 0·18. What is the number of rotten apples in the heap ? a 21 − a 7 = 84 60 ∘ 45 ∘ √ 3 = 1.73 10 √ 3m
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Page 1: 60 45 · Watch Free Video Solution on Doubtnut 9 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 If the point P(x, y) is equidistant from the points A(5, 1) and B(-1,5), prove that 3x = 2y.

CLASS10BOARDSMATHSSOLUTIONS

YEAR2017

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QuesNo. Question

1

CLASS10BOARDSMATHSSOLUTIONS-2017

WhatisthecommondifferenceofanAP.inwhich

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2

CLASS10BOARDSMATHSSOLUTIONS-2017

TheangleofelevationofthetopQofaverticaltowerPQfromapointXonthegroundis .Froma point y 40m vertically aboveX, the angle of elevation the topQ oftoweris .FindtheheightofthetowerPQandthedistancePX.(Use )

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3

CLASS10BOARDSMATHSSOLUTIONS-2017

Ifa tower30mhigh,castsashadow longon theground, thenwhat is theangleofelevationofthesun?

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4

CLASS10BOARDSMATHSSOLUTIONS-2017

Theprobabilityofselectingarottenapplerandomlyfromaheapof900applesis0·18.Whatisthenumberofrottenapplesintheheap?

a21 − a7 = 84

60 ∘

45 ∘ √3 = 1.73

10√3m

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Page 2: 60 45 · Watch Free Video Solution on Doubtnut 9 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 If the point P(x, y) is equidistant from the points A(5, 1) and B(-1,5), prove that 3x = 2y.

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5

CLASS10BOARDSMATHSSOLUTIONS-2017

Findthevalueofp,forwhichonerootofthequadraticequationis6timestheother.

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6

CLASS10BOARDSMATHSSOLUTIONS-2017

Whichtermofthesequence

isthefirstnegativeterm?

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7

CLASS10BOARDSMATHSSOLUTIONS-2017

Prove that the tangents drawn at the end points of a chord of a circlemake equalangleswiththechord.

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8

CLASS10BOARDSMATHSSOLUTIONS-2017

AcircletouchesallthefoursidesofaquadrilateralABCD.ProvethatAB+CD=BC+DA

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9

CLASS10BOARDSMATHSSOLUTIONS-2017

IfthepointP(x,y)isequidistantfromthepointsA(5,1)andB(-1,5),provethat3x=2y.

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px2 − 14x + 8 = 0

20, 19 , 18 , 17 ,.

14

12

34

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Page 3: 60 45 · Watch Free Video Solution on Doubtnut 9 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 If the point P(x, y) is equidistant from the points A(5, 1) and B(-1,5), prove that 3x = 2y.

10

CLASS10BOARDSMATHSSOLUTIONS-2017

If

hasrealrootsthen

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11

CLASS10BOARDSMATHSSOLUTIONS-2017

On a straight line passing through the foot of a tower, two points C and D are atdistancesof4mand16mfromthefootrespectively.IftheanglesofelevationfromCandDofthetopofthetowerarecomplementary,thenfindtheheightofthetower.

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12

CLASS10BOARDSMATHSSOLUTIONS-2017

Abagcontains15whiteandsomeblackballs.Iftheprobabilityofdrawingablackballfromthebagisthricethatofdrawingawhiteball,findthenumberofblackballsinthebag.

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13

CLASS10BOARDSMATHSSOLUTIONS-2017

Inwhatratiodoesthepoint dividethelinesegmentjoiningthepointsP(2,

2)andQ(3,7)?Alsofindthevalueofy.

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CLASS10BOARDSMATHSSOLUTIONS-2017

(a2 + b2)x2

+ 2(ab + bd)x + c2

+ d2 = 0

( , y)2411

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Page 4: 60 45 · Watch Free Video Solution on Doubtnut 9 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 If the point P(x, y) is equidistant from the points A(5, 1) and B(-1,5), prove that 3x = 2y.

14 Threesemicircleseachofdiameter3cm,acircleofdiameter4·5cmandasemicircleofradius4·5cmaredrawninthegivenfigure.Findtheareaoftheshadedregion.

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15

CLASS10BOARDSMATHSSOLUTIONS-2017

Waterinacanal,5·4mwideand1·8mdeep,isflowingwithaspeedof25km/hour.Howmuchareacanitirrigatein40minutes,if10cmofstandingwaterisrequiredforirrigation?

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16

CLASS10BOARDSMATHSSOLUTIONS-2017

Theslantheightofafrustumofaconeis4cmandtheperimeters(circumference)ofitscircularendsare18cmand6cm.Findthecurvedsurfaceareaofthefrustum.

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17

CLASS10BOARDSMATHSSOLUTIONS-2017

Solveforx:

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CLASS10BOARDSMATHSSOLUTIONS-2017

Twotapsrunningtogethercanfillatankin hours.Ifonetaptakes3hours

+

= , x ≠

− 1, − , − 4

1x + 1

35x + 1

5x + 4

15

3( )113

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Page 5: 60 45 · Watch Free Video Solution on Doubtnut 9 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 If the point P(x, y) is equidistant from the points A(5, 1) and B(-1,5), prove that 3x = 2y.

18 more than theother to fill the tank, thenhowmuchtimewilleach tap take to fill thetank?

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19

CLASS10BOARDSMATHSSOLUTIONS-2017

If theratioofthesumoffirstntermsoftwoAP's is(7n+1):(4n+27), thenfindtheratiooftheirmthterms.

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20

CLASS10BOARDSMATHSSOLUTIONS-2017

Prove that the length of the tangents drawn from an external point to a circle areequal.

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21

CLASS10BOARDSMATHSSOLUTIONS-2017

InFig.10.13, and aretwoparalleltangentstoacirclewithcentreOandanother tangent ABwith point of contactC intersecting at A and at B.Provethat

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22

CLASS10BOARDSMATHSSOLUTIONS-2017

Anaeroplaneflyingataheight300metreabovethegroundpassesverticallyaboveanotherplaneatan instantwhen theanglesofelevationof the twoplanes from thesamepointonthegroundare and respectively.Thentheheightofthelowerplanefromthegroundinmetresis

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XY X' Y 'XY X' Y '

∠AOB\ = \ 90o

60 ∘ 45 ∘

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Page 6: 60 45 · Watch Free Video Solution on Doubtnut 9 CLASS 10 BOARDS MATHS SOLUTIONS - 2017 If the point P(x, y) is equidistant from the points A(5, 1) and B(-1,5), prove that 3x = 2y.

23

CLASS10BOARDSMATHSSOLUTIONS-2017

If twodifferentdiceare rolled together, theprobabilityofgettinganevennumberofbothdiceis

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