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Jee Main 2025 — Medium JEE math MCQ

Two parabolas have the same focus \( (4, 3) \) and their directrices are the \( x \)-axis and the \( y \)-axis, respectively. If these parabolas intersect at the points \( A \) and \( B, \) then \( (AB)^2 \) is equal to
  1. A. 392
  2. B. 384
  3. C. 192
  4. D. 96

Solution

The correct option is **C**. (C. 192)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Two parabolas have the same focus (4,3) (4, 3) and their directrices are the x x -axis and the y y -axis, respectively. If these parabolas intersect at the points A A and B, B, then (AB)2 (AB)^2 is equal to
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep