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Jee Main 2025Medium JEE math MCQ

If in the expansion of \((1 + x)^p(1 - x)^q\), the coefficients of \(x\) and \(x^2\) are 1 and -2, respectively, then \(p^2 + q^2\) is equal to
  1. A. 18
  2. B. 13
  3. C. 8
  4. D. 20

Solution

The correct option is **B**. (B. 13)

MATH

mediumPYQ Reworded
Question
Read carefully, then pick the best option.
If in the expansion of (1+x)p(1x)q(1 + x)^p(1 - x)^q, the coefficients of xx and x2x^2 are 1 and -2, respectively, then p2+q2p^2 + q^2 is equal to
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep