defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Sets Set Theory and types of Sets
Consider the following statements
I. Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is 2mn - 1
II. If A = {1, 2, 3}, B = {3, 8), then (A U B) × (A ∩ B) is equal to {(1, 3), (2, 3), (3, 3), (8, 3)}.
III. If \(\rm \left(\frac{x}{2}-1, \frac{y}{9}+1\right)\) = (2, 1), then the values of x and y respectively are 6 and 0.
Choose the correct option.
1
Only I and II are false.
2
Only II and III are true
3
Only I and III are true.
4
All the three statements are true.