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Jee Main 2025 — Medium JEE math MCQ

Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of \(16 \left( \sec^{-1} x \right)^2 + \left( \cosec^{-1} x \right)^2 \) is
  1. A. \(24\pi^2\)
  2. B. \(22\pi^2\)
  3. C. \(31\pi^2\)
  4. D. \(18\pi^2\)

Solution

The correct option is **B**. (B. \(22\pi^2\))

MATH

medium • PYQ Reworded
Question
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Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of 16(sec⁡−1x)2+(cosec⁡−1x)216 \left( \sec^{-1} x \right)^2 + \left( \cosec^{-1} x \right)^2 is
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