------------------------
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Email : [email protected]
SUMMER
ASSIGNMENT- 2019
+2 2ND YEAR SCIENCE
PHYSICS
ELECTRIC CHARGES AND FIELD
1mark
REFLECTION, REFRACTION AND OPTICAL INSTRUMENTS
1MARK
DEPARTMENT OF CHEMISTRY
SOLID STATE
1. Define space lattice and ‘unit cell’. What do you understand by simple, face-centred and body
centred unit cell?
2. What do you understand by point defect? Briefly explain the different types of point defect.
3. Write notes on
a) Schottky defect & Frenkel defect.
HALO ALKANE & HALO ARENES
1. Write the structure of the major organic product in each of the following reaction?
a) 3 2 2
acetone
heatCH CH CH Cl NaI+ ⎯⎯⎯→
b) 3 3( ) Ethanol
heatCH CBr KOH+ ⎯⎯⎯→
c) 3 2 2
PeroxideCH CH CH CH HBr= + ⎯⎯⎯⎯→
d) 3 3 2( )CH CH C CH HBr= + →
e) 6 5 2 5C H ONa C H Cl+ →
f) 3 2 2 2CH CH CH OH SOCl+ →
g) 3 2
aq
ethanolCH CH OH KCN+ ⎯⎯⎯→
2. What are haloalkanes & haloarenes? How can haloalkanes be prepared from
a) Alcohols b) Alkanes c) Alkenes
3. Give a brief account of the following with one example each
a) Friedal Craft’s Reaction
b) Wurtz-Fittig Reaction
c) Sandmeyer Reaction
d) Balz-Schiemann Reaction
e) Markownikov’s rule
f) Kharasch effect
SOLUTION
1. Write the factors which effects the solubility of gas in solid.
2. Explain the term ideal solution. Give two examples of ideal solutions.
3. What do you mean by colligative properties of dilute solutions? Derive an expression for relative
lowering of vapour pressure.
4. Distinguish between diffusion & osmosis.
5. Define Vant-Hoff factor. Derive expression for calculation Vant-Hoff factor for i) degree of
dissociation, ii) degree of association
6. Define azeotropes with examples.
7. What do you mean by elevation in boiling point? How molecular mass of a non-volatile solute is
determined by elevation in boiling point.
8. What do you understand by colligative properties of a solution? Explain briefly osmosis and
osmotic pressure.
9. Write notes on
a) Raults Law for non volatile solute.
ALCOHOLS
1. Describe general method of preparation of alcohols. How does ethyl alcohol react with a) 5PCl ,
b) Na c) 3CH COOH d) Iodine in presence of alkali.
2. How can you distinguish between primary, secondary & tertiary alcohols by
a) Oxidation method
b) Catalytic dehydrogenation method
c) Lucas test
d) Victor Meyers test
3. Convert Methyl Alcohol to Ethyl Alcohol and Viceversa.
4. How will you obtain the following from ethyl alcohol?
a) Ethyl acetate c) Ethyl bromide e) Sodium ethoxide
b) Acetaldehyde d) Iodoform
PHENOLS
1. How phenol is prepared from a) Benzene b) Cumene c) Grignard reagent.
2. Explain the acidic character of phenols.
3. What happens when phenol is treated with bromine water.
4. What Ortho Nitro phenol has less boiling point then para nitro phenol.
5. Writes notes on a) Reimer Tiemann reaction
b) Kolbes reaction
c) Coupling reaction
6. Distinguish between alcohol & phenol.
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UNIT –I ( Relation & Function )
1. If :f X Y→ and :g Y Z→ are two functions, show that gof is invertible if each of f and g are so
and then ( )1 1 1gof f og− − −= .
2. If ( ) 2 2cos cosf x x x = + − where x stands for the greatest integer functions, then evaluate
( ) ( ), ,2
f f f
and 4
f
.
3. If :f R R→ , :g R R→ and :h R R→ such that ( ) 2f x x= , ( ) tang x x= and ( ) logh x x= , then
find ( ) ( )ho gof x at2
x
= .
4. If :f A B→ and :g B A→ such that gof is an indentity function on A and gof is an indentity
function on B, then show that 1g f −= .
5. If p is a prime and 0ab (mod p) then show that either a=0(mod p) of 0b (mod p). 6. Prove that the relation R on the set Z of all integers defined by ( ) , : is divisible by nR a b a b= − is
an equivalence relation. 7. Show that the relation R defined on the set of A of all triangles as ( ) 1 2 1 2, : is similar to TR T T T= is
an equivalence relation. Consider three triangles 1T with sides 3,4,5, 2T with sides 5,12,13 and 3T with
sides 6,8,10. Which of the triangle among 1 2 3, ,T T T are related. 8. Show that the relation R on the set A of points is a plane given by R = {(P,Q): distance of the points
Q origin is same as the distance of the point Q from the origin} is an equivalence relation. Further
show that the set of all points related to a ( )0,0P is a circle passing through P with origin at the
centre. 9. If 1,2,3,............,9A= and R be the relation in A A defined by ( ) ( ), ,a b R c d as a d b c+ = + for
( ) ( ), , ,a b c d A A . Prove that R is an equivalence relation. Also obtain the equivalence class
( )2,5 .
10. Let n be a positive integer and a function f be defined as ( )
0 when 1
1 when 12
n
f n nf n
=
= +
then find
( )35f .
11. If :f R R→ defined by ( ) 5 8f x x= − for all x R , then show that f is invertible. Find the
corresponding inverse function. 12. Show that the inverse of bijective function is unique. 13. Show that the inverse of a bijection is also a bijection.
Vikash Higher Secondary School, Bargarh
+2 2nd Year Science Session 2019-20
DEPT- Mathematics
P a g e | 9
14. If ( ) ( ) ( ) ( ) 1, , 2, , 3, , 4,f a b c d= and ( ) ( ) ( ) ( ) , , , , , , ,g a x b x c y d x= then determine gof. Is fog
defined? 15. Prove that the greatest integer function :f R R→ given by ( ) f x x= is neither one-one nor on to,
where [x] denotes the greatest integer less than or equal to x. 16. If A and B be sets, then show that :f A B B A such that ( ) ( ), ,f a b b a= is a bijective function.
17. Show that the function :f R R→ defined by ( ) sinf x x= is neither one-one nor on to.
18. If :f N N→ is defined by ( )
1if n is odd
2
if n is even2
n
f xn
+
=
for all n N . Find whether the function f is
bijective.
19. Show that a function :f R R→ given by ( )f x ax b= + , ,a b R and 0a is bijective.
20. If is binary operation defined by 3
5
aba b = , then show that is commutative as well as
associative. Also find its identity if it exists.
21. If A N N= and is a binary operation on A defined by ( ) ( ) ( ), , ,a b c d a c b d = + + , then show
that is commutative and associative. Also find the identity elements for on A if any.
22. Define a binary operation on the set 0,1,2,3,4,5 as 6
6 6
a b if a ba b
a b f a b
+ + =
+ − + . Show that 0 is
the identity for the operation and each elements 0a of the set is invertible with 6-a being the
inverse of a .
23. Let us consider a binary operation on the set 1,2,3,4,5 given in the following table.
1 2 3 4 5
1 1 1 1 1 1
2 1 2 1 2 1
3 1 1 3 1 1
4 1 2 1 4 1
5 1 1 1 1 5
Compute
i. 23) 3 and 2 (34)
ii. Is commutative
iii. Compute( 23) (45)
Inverse Trigonometric Function
1. Find the value of 1 1 3cos tan cot cos
2
− − .
2. Find the value ( ) ( )2 1 2 1sec tan 2 cosec cot 3− −+
3. Find the value of 1 11 3sin cosec
5 10
− −+
4. Prove that 1 1 41cot 9 cosec
4 4
− −+ =
5. Prove that 1 1 1tan tan tan1 1 1
a b b c c a
ab bc ac
− − −− − − + +
+ + +
P a g e | 10 2 2 2 2 2 2
1 1 1
2 2 2 2 2 2tan tan tan
1 1 1
a b b c c a
a b b c a c
− − − − − −= + +
+ + +
6. Prove that ( ) ( )2 1 1 1 2 1 1 1sin sin sin sin cos cos cos cosx y z x y z− − − − − −+ + = + +
7. In a Δ ABC if < A = 900, then prove that
1 1tan tan4
b c
a c a b
− − + =
+ + , where a, b, c are the sides of the triangle.
8. If tan-1x +tan-1y+tan-1z =2
, then prove that 1xy yz zx+ + =
9. Solve 1 1sin sin (1 )
2x x
− −+ − =
10. Solve 1 1sin (1 ) 2sin
2x x
− −− − =
11. Solve 1 1 1
2 2
2 2sin sin 2 tan
1 1
a bx
a b
− − − + =
+ +
12. If ABC is a right-angled triangle at A, prove that 1 1tan tan4
b a
a c a b
− −+ =+ +
, where a,b,c are sides
of the triangle.
13. If 1 1cos cosx y
a b− −+ + = , then prove that
2 22
2 2
2cos sin
x xy y
a ab b − + = .
14. Show that : 2 2
1
2 2
1 1tan
1 1
x x
x x−
+ + −=
+ + −
if 2 2sinx = .
15. Show that : ( ) ( )1 1 1 1 1 1tan tan tan tan cot cot cot cotx y z x y z− − − − − −+ + = + + .
16. Solve : 1 1
2
2tan tan
1 2
xx
x
− −+ =−
.
17. Prove that : ( ) ( )1 1 1 2tan tan 1 tan 1x x x x− − −+ + = + + .
18. Show that : 1 12 2tan tan
33 3
a b b a
b a
− −− −+ = .
19. Prove that: 1 1 1
2
1 1tan tan tan
1
y
x y x xy x
− − −+ =+ + +
.
20. Prove that : 1 1 1 112 64 49 1cos 2cos cos cos
13 65 50 2
− − − −+ + = .
21. Prove that : 1 1coscos 2 tan tan
cos 2
a x b a b x
a b x a b
− − + −
= + + .
22. Prove that : ( )1 1 1 1tan 2 tan cos tan tan cotx ec x x− − − −= − .
23. Prove that : 1 1 sin 1 sincot , 0,
2 41 sin 1 sin
x x xx
x x
− + + −
= + − − .
24. Prove that : 1 1 14 12 33cos cos cos
5 13 65
− − − + =
.
25. Solve : ( ) ( )1 12 tan sin tan 2sec ,2
x x x− −= .
26. Prove that : 1 19 9 1 9 2 2sin sin
8 4 3 4 3
− −
− = .
P a g e | 11
27. Solve: 2
1 1
2
2 1tan cot
1 2 3
x x
x x
− − − + =
− .
28. Prove : 1 1 14 5 16sin sin sin
5 13 65 3
− − − + + =
.
29. Prove : 1 1 1 11 1 1 1tan tan tan tan
3 5 7 8 4
− − − − + + + =
.
30. Prove that : 1 11 1 1 1tan cos , 1
4 21 1 2
x xx x
x x
− − + − −
= − − + + −
.
UNIT II ( Matrices )
1. Determine the matrices and B where
A+2B =
1 2 0
6 3 3
5 3 1
− −
and 2A-B =
2 1 5
2 1 6
0 1 2
−
−
2. If A =
0 1 0
1 0 2
0 0 1
−
, find the value of 3 2
3A A I− +
3. Verify that T T TAB B A= , where A =
1 2 3
6 7 8
6 3 4
−
and B =
1 2 3
3 4 2
5 6 1
.
4. Find A if ,
4 1 2 3
1 3 4 2
3 5 6 1
A
=
.
5. If A = 4 2
1 1
−
and I is the 2x2 unit matrix , find (A-2I)(A-3I)
6. If 1 2 2 3 4
,3 2 1 1 4
x
y
− − =
− find x and y .
7. Express
1 2 3
4 0 1
1 5 2
− −
as a sum of a symmetric and skew symmetric matrices.
8. Find inverse of 2 5
1 3
applying elementary operations.
9. Find the inverse of
0 0 2
0 2 0
2 0 0
applying elementary operation.
10. Find the adjoint of the matrix
1 1 1
2 1 2
1 3 1
11. Find the inverse of the matrix 1 2
3 1
.
P a g e | 12
12. Solve by matrix method :
2 3
3 4
x y
x y
+ =
+ =
13. Find A-1 if A = 1 2
3 5
by using elementary row operations.
14. If A is a 3x3 matrix and 2A = , then which matrix is represented by A×Adj A?
15. Find A-1 if A =4 1
2 3
−
16. Find B if B2 = 17 8
8 17
17. Find the adjoint matrix of the matrix 2 5
1 4
18. Verify (AB)T =BTAT where A =
1 21 2 3
, 2 03 2 1
1 1
B
= − −
19. If
2 41 2 2
, 1 2 ,3 1 1
3 1
A B
−
= = − −
then verify the ( )T T TAB B A=
20. Construct a 2×3 matrix having elements given by ij i j= −
Determinants
1. Prove that :
( )
( )
( )
( )( )( )( )( )
2 2
2 2 2 2 2
2 2
b c a bc
c a b ca a b c a b c b c c a a b
a b c ab
+
+ = + + + + − − −
+
2. Prove that : ( )
2 2
2 2 2 2
2 2
1 2 2
2 1 2 1
2 2 1
a b ab b
ab a b a a b
b a a b
+ − −
− + = + +
− − −
3. Prove that : 3 3 3 3
a b c
a b b c c a a b c abc
b c c a a b
− − − = + + −
+ + +
.
4. If x y z and
2 3
2 3
2 3
1
1 0
1
x x x
y y y
z z z
+
+ =
+
then 1 0xyz+ = .
5. Using the properties of determinants, prove that ( )3
2 2
2 2
2 2
y y z x y
z z z x y x y z
x y z x x
− −
− − = + +
− −
6. Prove that :
1 1 1
2 3 2 1 3 2 1
3 6 3 1 6 3
p p q
p p q
p p q
+ + +
+ + + =
+ + +
P a g e | 13
7. Show that : ( )( )( )( )2 2 2
x y z
x y z x y y z z x xy yz zx
yz zx xy
= − − − + + . [CHSE- 2007,2009]
8. Prove that : ( )( )( )( )
3 3 2
3 3 2 3
3 3 2
a x a a
b x b b a b a c b c abc x
c x c c
−
− = − − − −
−
[CHSE- 2002(A)]
9. Prove that : ( )( )( )2 2 21a b c
a b c b c c a a bbc ca ab
bc ca ab
= − − −+ +
[CHSE- 1994(A)]
10. Prove that : 4
y z x x
y y x y xyz
z z x y
+
+ =
+
[CHSE- 1993(A),1997(s)]
11. Prove that :
3 5 7
4 6 8 0
5 7 9
a b a b a b
a b a b a b
a b a b a b
+ + +
+ + + =
+ + +
[CHSE- 1993 (A)]
12. Prove that :
2
2 2 2 2 2
2
1
1 1
1
a ab ac
a ab b bc a b c
ac bc c
+
+ + = + + +
+
and write its minimum value.
[CHSE- 2010(A),1999(A),1992(S)]
13. Prove that :
2 2
2 2 2 2 2
2 2
4
a bc c ac
a ab b ca a b c
ab b bc c
+
+ =
+
[CHSE- 1997]
14. Show that :
2
2 2
2
0
b ab b c bc ac
ab a a b b ab
bc ac c a ab a
− − −
− − − =
− − −
.
15. Show that :
( )
( )
( )
( )
2
2 2
2
2
y z xy zx
xy x z yz xyz x y z
xz yz x y
+
+ = + +
+
16. If a,b,c are in A.P. find the value of
2 4 5 7 8
3 5 6 8 9
4 6 7 9 10
y y y a
y y y b
y y y c
+ + +
+ + +
+ + +
17. Prove that : ( )( )( )( )3 3 3
1 1 1
a b c b c c a a b a b c
a b c
= − − − + + . [1991(A), 1998(A), 2000(A)]
18. If
2 3
2 3
2 3
1
1 0
1
x x x
y y y
z z z
−
− =
−
then prove that 1xyz = when , ,x y z are non zero and unequal.
P a g e | 14
19. Show that : ( )( )( )2
a b c c b
c a b c a b c c a a b
b a a b c
+ + − −
− + + − = + + +
− − + +
.
20. Show that : 3 3 3 3
b c a b a
c a b c b a b c abc
a b c a c
+ +
+ + = + + −
+ +
.
21. Prove that :
( )
( )
( )
( )
2 2 2
2 32 2
22 2
2
b c a a
b c a b abc a b c
c c a b
+
+ = + +
+
. [CHSE-2011]
22. Prove that :
22 2 2 2
2 2
2 2 2 2
2 2
2 2 2
2 2
x y a ax xy ay x a x y
ax xy a x ax xy x a x
ay x ax xy x y a y x a
+ + + +
+ + + =
+ + + +
23. If 0, 0ax hy g hx by f+ + = + + = and gx fy x + + = then find the value of 2 in the form of a
determinant.
24. Prove that : ( )( )( )
2
2 4
2
a a b c a
a b b b c b c c a a b
c a c b c
− + +
+ − + = + + +
+ + −
25. If 2s a b c= + + , then prove that
( ) ( )
( ) ( )
( ) ( )
( )( )( )
2 22
2 22 3
2 2 2
2
a s a s a
s b b s b s s a s b s c
s c s c c
− −
− − = − − −
− −
.
26.
Solve by matric method
4
2 0
2 3 2
x y z
x y z
x y z
+ − =
− + =
+ − =
[1992 (A)]
6. Solve by Cramer’s Rule :
3 2 12
5 7
x y
x y
− =
+ =
7. Prove that
2 2 2
1 1 1
a b c
a b c
=(a-b) (b-c) (c-a)
8. Solve
1 3
1 1 0
3 6 3
x
x =
9. Solve by Cramer’s Rule :
3 4 6
2 5 7
x y
x y
+ = −
− =
P a g e | 15
10. Without expanding prove that 2 2 3
2 2 3
2 2 3
1
1
1
bc a a a a
ca b b b b
ab c c c c
=
11. Solve for
15 2 11 10
: 11 3 17 16 0
7 14 13
x
x x
x
−
− =
−
12. Prove that
1 1 11 1 1
1 1 1 1
1 2 1
a
b abca b c
c
+
+ = + + +
+
13. Solve by Cramer’s Rule :
2 3 8
3 23
x y
x y
+ =
− =
UNIT-III ( Continuity and Differentiability )
Continuity
1. If the following function f(x) is continuous at x = 0, then find the value of k?
2
1 cos 2when 0
( ) 2
when 0
xx
f x x
k x
−
= =
2. Show that 3
5 4 when 0 1( ) is continuous at 1
4 3 when 1 2
x xf x x
x x x
− = =
−
3. For what value of k, is the following function continuous at 2x = ?
2 1 when 2
( ) when 2
3 1 when 2
x x
f x k x
x x
+
= = −
4. Find the values of a and b such that the following function f(x) is continuous function.
5 if 2
( ) if 2 10
21 if 10
x
f x ax b x
x
= +
5. Test the continuity of the function
2 9when 0 3
( ) at 33
1 when 3 5
xx
f x xx
x x
−
= =− +
6. Discuss the continuity of the function 2
7 3 when 1( ) at 1
4 when 1
x xf x x
x x
− = =
7. Find the value of k so that the function defined by
cosif
2 2( )
3 if2
k xx
xf x
x
−
= =
is continuous at 2
x
=
8. Find all points of discontinuity of f where f is defined by 2 3 if 2
( )2 3 if 2
x xf x
x x
+ =
−
P a g e | 16
9. Discuss the continuity of 2 1sin when 0
( ) at 0
0 when 0
x xf x xx
x
= = =
10. If the function f(x) given by
3 if 1
( ) 11 if 1
5 2 if 1
ax b x
f x x
ax b x
+
= = −
is continuous at 1, then find the value of and x a b=
11. Find the value of a such that the function f defined by
sinif 0
sin( ) is continuous at 0
1if 0
axx
xf x x
xa
= =
=
12. Let if 0
( )
0 if 0
xx
f x x
x
= =
Examine the continuity of ( )f x at 0x =
13. Let 1
if 0( )
1 if 0
xx xf x
x
+= −
Examine the continuity of ( )f x at 0x =
CHAPTER-2
Differentiability
1. If ( )1tan / log ,x a
y a xx a
− −= +
+ then prove that
3
4 4
2dy a
dx x a=
−
2. If ,y x yx e −= then prove that ( )
2
log
1 log
dy x
dx x=
+
3. If log ,x
y xa bx
=
+ then prove that
223
2
d y dyx x y
dx dx
= −
4. Differentiate the following function with respect to x. i.e. ( ) loglogx xx x+
5. If ( )2 2log ,y x x a= + + then show that 2
2 2
20
d y dyx a x
dx dx+ + =
6. If 2
3 3
2cos and sin , then find at
6
d yx a y a
dx
= = =
7. If ( ) ( )sin sin cos 0,x a y a a y+ + + = then prove that ( )2sin
sin
a ydy
dx a
+=
8. Find if
m n
m mdy xx y
dx y
+
=
9. If ( )2
sinsec , tan , then prove that
sin
dy a yx a y b
dx a
+
= = =
10. If ( )
2
log, then show that
log
y x y dy xx e
dx xe
−= =
P a g e | 17
11. Differentiate 2
1 1
2 2
2 1sin w.r.t. cos
1 1
x x
x x
− − −
+ +
12. If ( )cos cos ,y x a y= + then show that ( )2cos
sin
a ydy
dx a
+=
13. Differentiate 1
1
1sec w.r.t.
x xx
x x
−−
−
+
−
14. If ( )tan ,y x y= + then show that 2
2
1dy y
dx y
+= −
15. Find ( )2 if log 3x
dyy
dx=
16. If 11 sin 1 sin
cot , 0 / 2 then find
1 sin 1 sin
x x dyy x x
dxx x
−+ + −
=
+ − −
17. If ( ) ( )3cos log 4sin log ,y x x= + then show that 2 0
dy dyx x y
dx dx+ + =
18. If ( )log ,x y xy= then show that dy y x y
dx x x y
−=
+
19. If 1 1 0,x y y x+ + + = then show that ( )
2
1
1
dy
dx x= −
+
20. Find if x y x ydye e e
dx
++ =
21. If ( )107 3 ,x y x y= + the prove that
2
20
d y
dx=
22. If 1cos ,m xy e−
= then show that ( )2 2
2 11 x y xy m y− − =
23. If sin , sin 2 ,x t y t= = then prove that ( )2
2
21 4 0
d y dyx x y
dx dx− − + =
24. If ( ) ( )sin cos ,x y y x y+ = + then prove that ( )2
2
1 ydy
dx y
+= −
25. Find 4 if cosny y x=
26. If 1
1
1
........
y x
x
xx
= +
+
++
then find dy
dx
27. Prove that ln tan sec4 2
d xx
dx
+ =
28. If 2 1 ,dy
y xdx
= +
then show that 2y is a constant.
29. If 1 costan ,
1 sin
xy
x
− =
+ then prove that
1
2
dy
dx= −
30. If 2 1 2 11 1cos cosec ,
1 1
x xy x x
x x
− − − +
= + + − then prove that
2
2
d yx
dx=
P a g e | 18
Errors
1. Find the approximate value of x
(i) 3 28 (ii) 49.96
2. Using differential find the value of 16.2
3. Find an approximate value of ( )7
1.99 using differential.
4. If 1,y x= + find y and dy when 8 and 0.02x dx= =
5. Find the approximate value 16.04 of using differential.
6. Find approximately the difference between the volumes of two cubes of sides 3cm and 3.04cm
DEPARTMENT OF BIOLOGY (BOTANY) I. Write short notes on:Budding
1. Binary Fission
2. Cutting
3. Layering
4. Grafting
5. Mircropropagation
6. Pollen
7. Anatropous Ovule
8. Homogamy
9. Cleistogamy
10. Geitonogamy
11. Anemophily
12. Hydrophily
13. Entemophily
14. Zoophily
15. Dicliny
16. Dichogamy
17. Self-sterility/Self incompatibility
18. Heterostyly
19. Herkogamy
20. Syngamy
21. Triple fusion
22. Cellular endosperm
23. Nculear endosperm
24. Parthenocarpy
25. Apomixix
26. Polymbryony
27. Parthenagenesis
28. Punnett square
29. Back cross
30. Test Cross
31. Multiple Allelism
32. Pleiotrophy
33. Co-dominance
34. In-Complete Dominance
35. Chromosomal basis of inheritance
II. Differentiate Between
a) Binary fission & Multiple fission
b) Asexual reproduction and sexual
reproduction
c) Microsponogenesis &
Megasponogenesis
d) Chasmogamous flower &
Cleistogamous Flower
e) Geitonogamy & Xenogamy
f) Anemophilous Flower &
Entomophilous Flower
g) Self Pollination & cross pollination
h) Parthenocarpy & Parthenagenesis
i) Genotype & Phenotype
j) Homozygous & Heterozygous
k) Monohybrid cross & dihybrid cross
l) Complete linkage & Incomplete
linkage
m) Linkage & Crossing over
III. Long Questions
a) Give an account of the development of male gametophyte in angiosperm
b) Explain the structure and development of a typical female gametophyte in angiosperm.
c) What is meant by double fertilization? Describe the process and advantage of double fertilization
in Angiosperms.
P a g e | 19
d) Explain Mendel’s monohybrid cross experiment and explain laws of dominance and purity of
gamates.
e) Explain Mendel’s Dihybrid cross experiment with reference to laws of independent assortment.
DEPARTMENT OF BIOLOGY (ZOOLOGY) I. Write short notes on:
1. Male accessory glands
2. Female accessory gland
3. Epididymis
4. Disadvantages of asexual reproduction
5. Advantages of sexual reproduction
6. Structure of graffian follicle
7. Sperm
8. Ovum
9. Amphimixis
10. Menstrual cycle
11. Cleavage
12. Morula
13. Blastula
14. Gastrula
15. Placenta
16. Parturition
17. Lactation
18. Foetal ejection reflex
19. STD
20. MTP
21. Male infertility
22. Female infertility
23. Assisted reproductive technologies
24. Amniocentesis
25. IUCD
26. Drawbacks of IUCD
27. Turner’s Syndrome
28. Klinefelter’s Syndrome
29. Down’s Syndrome
30. Gynandromorph
31. Genic balance theory
32. Single gene effect
33. Thalasemia
34. Haemophilia
35. Haplo-diploid method of sex
determination
36. Free martin theory
37. Environmental method of sex
determination
38. Corpus luteum
39. Path of sperm
40. Extra embryonic membrane
41. Malthus theory
42. Test tube baby
43. Surrogate mother
44. Holoandric gene
Differentiation
1. Corpus luteum and corpus albicans
2. Spermatogenesis and oogenesis
3. Asexual and Sexual reproduction
4. Primary and secondary sex organ
5. Sperm and Ovum
6. Menstrual cycle and oestrous cycle
7. Morula and Blastula
8. Leydig cells and Sertoli cells
9. Cleavage and mitosis
10. Amnion and Chorion
11. Vasa efferentia and Vasa differentia
12. Vasectomy and Tubectomy
13. Combined pills and minipills
14. Natural and Barrier method of birth
control.
15. Dominant and Recessive character
16. Homozygous and Heterozygous
17. Turner’s and Klinefelter’s Syndrome
18. Phenotype and Genotype
19. Autosomal and Sex linked gene
Note : Do all 1 mark questions from the book which you are following.
DEPARTMENT OF INFORMATION TECHNOLOGY
1. Write short notes on a. Transmission Modes b. Transmission Media c. Network d. Modem e. Network Device
f. Microwave g. Radio wave h. PAN i. Internet j. Internet Backbone
k. Internet Access l. VSAT m. ISP n. Internet Protocol o. HTTP
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p. FTP q. Telnet r. IP Address s. Domain Name t. URL u. Search Engine
v. Web Browser w. Email x. IRC y. Chatting z. Video Conference aa. LAN
bb. MAN cc. Network Topology dd. Cable Modem ee. MAC address ff. Router
2. Differentiate between:-
a. Bridge and Gateway b. Switch & Hub c. MAN & WAN d. Guided Media & Unguided Media e. Coaxial Cable & Fiber Optics f. Repeater & Bridge g. Star Topology & Mesh Topology
h. Serial & Parallel Transmission Modes i. Asynchronous & Synchronous
Transmission Modes j. Dialup & Broadband Internet Access k. IP Address & MAC Address l. HTTP & FTP m. Web Page & Web Sites
DEPARTMENT OF STATISTICS
PROBABILITY DISTRIBUTIONS:
1. The probability mass function of a binomial distribution with mean 5 and variance 10/3 is _______
2. A pair of dice is tossed 8 times. Considering a score of 9 as a success, find the probability of no
success.
3. Say “True” or “False”: The mean of a binomial distribution is twice its variance.
4. When will a binomial distribution have mean > median > mode?
5. If a binomial distribution is symmetrical then what will be the relation between its mean and
variance?
6. Mean and variance of a binomial distribution are respectively 17/3 and 34/9. what will be the mode
of the distribution?
7. Can the mean be the square of standard deviation in case of a binomial distribution?
8. For a binomial distribution with 12 trials Mean = Median = Mode. What will be the probability
generating function of the distribution?
9. For a binomial distribution, Pr (X = 5) = Pr(X = 6). If there are 10 trials, then find mean?
10. In a binomial probability distribution, the sum of probability of failure and probability of success is
always:_______
11. What are the conditions for a binomial distribution to become a Poisson distribution?
12. What is the relation between the mean and variance of Poisson distribution?
13. If X ( )X P then what is the Prob. that X takes a value of at least 1?
14. What is the sum of all probabilities of Poisson distribution?
15. For a Poisson distribution, Pr(X =2) = 2Pr (X = 1), find its mode.
16. Define a standard normal distribution?
17. If X ~ N (50, 14) then what are the mean and variance of X?
18. What is the value of the mean deviation of X~ N (500,140).
19. What will be the quartile deviation of a standard normal distribution?
CORRELATION & REGRESSION: 1. What are the limits of Karl Pearson’s coefficient of correlation?
2. If the correlation coefficient between x and y is A, then correlation coefficient between 5x and 2y
is_____
P a g e | 21
3. If every value of x is increased by 5 and every value of y is decreased by 5 then the change in the
value of correlation coefficient between x and y is_______
4. What is the formula for rank correlation coefficient with tied ranks?
5. What are the limits of rank correlation coefficient?
6. What type of correlation should be most suitable to express the relation between efficiency of
workers and their qualification level?
7. Define Zero correlation.
8. What is meant by spurious correlation?
9. Give an example of negative correlation.
10. What are the coordinates of the point of intersection of the two regression lines?
11. If two variables x and y are related by the equation 3x + 5y =11, then the variables have
______correlation.
12. If the regression lines are perpendicular to each other, then what type of correlation is present
between the variables?
13. Which line of regression should be used to determine the estimated value of y corresponding to x
=45?
14. What is the relation between the regression coefficients and the correlation coefficient?
15. Why is it not possible to have regression lines as two separate parallel lines?
16. Which of the two regression lines can be parallel to the x-ax-s?
17. If one of the regression coefficient is 0.8, then what is the range of value for the other regression
coefficient?
2 OR 3 MARKS
1. Prove that correlation coefficient is independent of change of origin.
2. Prove that correlation coefficient is invariant under change of scale.
3. Derive the limits of Karl Pearson’s correlation coefficient.
4. What is perfect correlation?
5. Explain spurious correlation by giving at least two examples.
6. Define the regression coefficient. Write the relation between the regression coefficients and the
correlation coefficient.
7. It the equation of the line of regression of x on y is 2x+7y-65=0, then what will be the range of the
regression coefficient of y on x?
8. Why there exist two regression lines but only one correlation coefficient?
9. Discuss the effect of change of origin and scale of regression coefficients.
10. Derive the limits for the regression coefficients.
11. Define binomial distribution and write its physical conditions.
12. Prove that sum of the probability of binomial distribution is one.
13. Define poison distribution and write its physical conditions.
7marks
1. Define correlation and regressions and prove that the G.M. of regression coefficients is correlation
coefficient.
2. Write the differences between correlation and regression.
3. Describe scattered diagram.
4. Describe regression. Describe the coefficient and lines of regression.
5. State and prove rank correlation coefficient.
6. Derive mean and variance of binomial distribution.
7. Derive mean and variance of poison distribution.
P a g e | 22
DEPARTMENT OF ENGLISH 1. Prose : “The Magic of Teamwork” – Answer all the questions of Unit-I , II, III, IV
2. Poem: “A Psalam Of Life” – Answer all the questions.
3. Story: Mystery of the Missing Cap– Answer all the questions.(UNIT-I,II,III,IV,V)
4. Books-3: All the activities of note-making and summarizing.
5. Collection-collect different news articles on various incidents/observations/celebrations from English
News Papers.
6. Book-4 : All the activities of articles, tense, prepositions ,conditionals & the passive.
विषय : आधुनिक भारतीय भाषा ( ह िंदी)
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Deeles nw ? 4- DeelceefveYe&jlee ces keÀewve keÀewve mes iegCe Hee³es peeles nw ? 5- ³etjesHe keÀer meY³elee kesÀ yeejW ces YeÆ peer keÀe efJe®eej ke̳ee
nw ? 6- jnerce kesÀ oesns ceeveJe peerJeve Hej DeeOeeefjle nw, kewÀmes ? 7- jnerce peer HeÀue keÀer ieleer kesÀ yeejs ces ke̳ee yeleueeles nw ? 8- jnerce peer efkeÀmes ye[s ueesie keÀns nw ? 9- mebiele keÀe ÒeYeeJe nceejs peerJeve Hej He[lee nw,GoenjCe meefnle
mecePeeSB? 10-Heeveer efyevee meye metve nw Ssmee jnerce peer ke̳ees keÀnles nw ?
ଭାରତୀୟ ଆଧୁନକି ଭାଷା - ଓଡଆି
ସର୍ବନାତ୍ମକ ରଚନା ଲେଖ - ୧) କ- ଧିର ପାଣି ପଥର କାଲେ ଖ- ଅଳ୍ପ ର୍ଦି୍ୟା ଭୟଂକରୀ ଗ- ଅଥବ ହିଁ ଅନଥବର ମୂଳ ୨) ସାମ୍ପ୍ରତକି ପ୍ରତଲିପକ୍ଷୀଲର 'ଇତହିାସ' ପ୍ରର୍ନ୍ଧଲର ଆର୍ଶ୍ୟକତା ନରୂିପଣ କର I ୩) ଏକ ର୍ୟଙ୍ଗାତ୍ମକ ଗଳ୍ପ ଭାର୍ଲର 'ସଭୟ ଜମିଦ୍ାର' ଗଳ୍ପର ମୂେୟାଙ୍କନ କର I
DEPARTMENT OF MIL( SANSKRIT)
meÒeme²b J³eeK³eele :- 1) MejCeeielem³e keÀle&J³eceeefleL³eefcen ³elvele: ~ Heáe³e%eÒeJe=Êesve ie=nmLesve efJeMes<ele:~~
P a g e | 23
2) peerJeb Òeefle o³ee ,MejCeeielej#eCeced Fl³eeefoOece&efve<þ³ee meJex<eeb HejcekeÀu³eeCeb YeefJe<³eefle ~
3) ef$eMe¹§cenejepeb meosnb mJeie¥ Òeefle Òesef<eleJeeved S<e: ~
4) og:Kes<Jevegod efJeivecevee: megKes<egefJeielemHe=n:~
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Precise Writing :-Book Kalyani Publisher Text -3,4,6
P a g e | 24
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