------------------------

Web : www.odishavikash.com

Email : principalvikash@rediffmail.com

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.

P a g e | 8

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

P a g e | 20

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)

1- efKeleerve yeeyet keÀneveer keÀye HetCe& nesleer nw ? 2- efKeleerve yeeyet ves keÀewve meer keÀneveer megveeF& ? 3- efKeleerve yeeyet keÀes keÀewve keÀewve mes ®esnjs Gueenvee osves

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 ~

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4) og:Kes<Jevegod efJeivecevee: megKes<egefJeielemHe=n:~

efJelejeieYe³e$eÀesOe: efmLeleOeerceg&efve©®³eles ~~ 5) G×jsoelceveelceeveb veelceeveceJemeeo³esled ~

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Precise Writing :-Book Kalyani Publisher Text -3,4,6

P a g e | 24

BE

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