Verified Solution • 2025–26 Session moderate

QJEEM24Ma4068: JEE Main 2024 Mathematics - Class 11 JEEM24Ma4068 Solution: Let A and B be two finite sets with m and n elements…

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 :

Multiple Choice Options

  • A 8
  • B 10
  • C 4
  • D 6

Step-by-Step Verified Solution

2m−2n=562n(2m−n−1)=23×72n=23 and 2m−n−1=7⇒n=3 and 2m−n=8⇒n=3 and m−n=3⇒n=3 and m=6P(6,3) and Q(−2,−3)PQ=82+62=100=10

Hence option (1) is correct

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