Page 6 - Mathematics Class - XI

CONTENTS

ACTIVITIES

UNIT - I : SETS AND FUNCTIONS

TOPIC - 1: Sets
1.1 To find the number of subsets of a given set and verify that if a set has n number of elements, then 7
the total number of subsets is 2 .
n
1.2 To represent set theoretic operations using Venn diagrams. 10
1.3 To verify distributive law for three given non-empty sets A, B and C, i.e., A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) 13

TOPIC - 2: Relations and Functions
2.1 To verify that for two sets A and B, n (A × B) = pq and the total number of relations from A to B 17
is 2 , where n(A) = p and n(B) = q.
pq
2.2 To distinguish between a relation and a function. 21

TOPIC - 3: Trigonometric Functions
3.1 To verify the relation between the degree measure and the radian measure of an angle. 25

3.2 To find the values of sine and cosine functions in second, third and fourth quadrants using their 28
given values in the first quadrant.

x
3.3 To plot the graphs of sin x, sin 2x, 2 sin x and sin , using same coordinate axes. 32
2

UNIT - II : ALGEBRA

TOPIC - 4: Complex Number

4.1 To interpret geometrically the meaning of i 1 and its integral powers. 36

TOPIC - 5: Linear Inequality

5.1 To obtain a quadratic function with the help of linear functions graphically. 40
5.2 To verify that the graph of a given inequality, say 5x + 4y – 40 < 0, of the form ax + by + c < 0, 43
a, b > 0 and c < 0 represents only one of the two half planes.

TOPIC - 6: Permutations and Combinations

6.1 To find the number of ways in which three cards can be selected from given five cards. 47