JEE Main 2024 Mathematics question
Let A and B be two finite sets with m and n elements respectively. The total number of subsets of the set A is 56 more than the total number of subsets of B. Then the distance of the point P(m, n) from the point Q(–2, –3) is:
Answer: (C)
Solution
− = 56 gives m = 6 and n = 3 (64 − 8 = 56). So P = (6, 3) and PQ = √(8² + 6²) = 10.