CLASS_11_MATHS_SOLUTIONS_NCERT

Class XI Chapter 2 – Relations and Functions Maths
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Question 8:
Let A 1, 2
and 3, 4
Solution 8:
A
1, 2
A B
and
B
B . Write A B . How many subsets will A B
3,4
1,3 , 1, 4 , 2,3 , 2, 4
B 4
n A
We know that if C is a set with
Therefore, the set A B has
n C m, then n P C 2 m
4
2 16
subsets. These are
, 1,3 , 1,4 , 2,3 , 2,4 , 1,3 1,4 , 1,3 , 2,3 ,
1,3 , 2,4 , 1,4 , 2,3 , 1,4 2,4 , 2,3 2,4
1,3 , 1,4 , 2,3 , 1,3 , 1,4 , 2,4 , 1,3 , 2,3 , 2,4
1,4 , 2,3 , 2,4 , 1,3 , 1,4 , 2,3 , 2,4
.
have? Them.
Question 9:
Let A and B be two sets such that
find A and B, where
Solution 9:
It is given that
xy ,
n A 3
and
and
z
n A 3
and
are distinct elements.
nB 2;
nB 2
. If
x,1 , y, 2 , z,1
and
x,1 , y, 2 , z,1
are in A B .
We know that
A = Set of first elements of the ordered pair elements of A B
B = Set of second elements of the ordered pair elements of A B .
and are the elements of A; and 1 and 2 are the elements of B.
xy , ,
Since
z
n A 3
It is clear that
and
A
nB 2,
x, y,
z
and
B
1, 2
.
are in A B ,
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