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KENDRIYA VIDYALAYA,KHAMMAM

SCIENCE STREAM

Summer Holidays Homework 2016 :-+2 class:-

(2016-17) - XII

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Biology:-

1. Can you list the changes seen in human beings that are indicative of reproductive maturity?

2. Find out the names of 5 more flowers that are used in social and cultural celebrations in your family? Have you heard of floriculture what does it refer to?

3. Both wind and water pollinated flowers are not very colorful and dont produce nectar , what would be the reason for this?

4. Draw the diagram of longitudinal section of flower and egg apparatus showing entry of pollen tube into synergids?

5. Draw the diagram of fertilized embryo sac and male and female reproductive system in humanbeing?

Chemistry:-

1. Derive expressions for raoults law for ideal gas & non-ideal gas equations.

2. define colligative properties .and derive expressions for

A) relative lowering of vapour pressure

B) Depression in freezing point

c) Elevation in boiling point

3. Draw 14 types of Bravice lattice structures.

4. Define Primitive and non- primitive cells. Draw the structures for Primitive cells.

5. Write the solutions for NCERT textual questions in SOLUTIONS

Physics:-

1. state and explain coulombs law in electro statics?

2. Derive the expression for electric field intensity due to electric dipole at a point on axial line?

3. Derive the expression for electric field intensity due to electric dipole at a point on equatorial line?

4. Derive the expression for torque acting on a electric dipole placed in uniform electric field?

5. what are electric lines of force & give their properties

MATHS

1) SLet f:NN be a function defined as f(x) = 4x2 + 12x + 15.Show that f: NS is invertible(where S is range of f).Find the inverse of f and hence find fS is invertible(where S is range of f).Find the inverse of f and hence find f-1(31) and f-1(87).

2) Consider f:R+[-5,) given by f(x) = 9x2 + 6x 5, Show that f is invertible with f-1(y) =

3) Show that f:[-1,1] R given by is one one.Find the inverse of the function

f :[-1,1]Range f.

4) Let A = R {3} and B = R {1}.Consider the function f:AB defined by f(x) = .Is f one one and onto? Justify your answer.

5) Let f:NN defined by for all nN.State whether the function f is bijective.Justify your answer.

6) Let A = R {3} and B = R {2/3}.If f:A B given by f(x) = ,prove that f is a bijective function.

7) Show that f:AA ,A = R {2/3} defined as f(x) = is one- one and onto.Hence find f-1.

8) Define a binary operation * on the set [0,1,2,3,4,5}as a*b =

Show that zero is the identity for this operation and each element a0 of the set is invertible

with 6 a being the inverse of a.

9) Prove that the relation R in the set A = {5,6,7,8,9} given by R = {(a,,b): |a - b|is divisible by 2}is an equivalence relation.Find all elements related to element 6.

10) Prove that the relation R in the set A = {xZ : 0 x 12} given by R = {(a,,b): |a - b|is a multiple of 4}is an equivalence relation.

11) let A = NxN and * be a binary operation on A defined by (a.b)*(c,d) = (a + c,b + d).Show that * is commutative and associative.Also find the identity element for * on A,if any.

COMPUTER SCIENCE

Find the output of the following program:

#include

struct MyBox

{

int Length, Breadth, Height;

};

void Dimension (MyBox M)

{

cout