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Jee Main 2025 — Hard JEE math MCQ

Let \( x = x(y) \) be the solution of the differential equation \[ y = \left( x - y \frac{dy}{dx} \right) \sin \left( \frac{x}{y} \right), y > 0 \text{ and } x
  1. A. = \frac{\pi}{2} \]. Then \[ \cos(x
  2. B. ) \] is equal to: (1) \( 1 - 2(\log_2 2)^2 \) (2) \( 1 - 2(\log_2 2) \)
  3. C. \( 2(\log_2 2)^2 - 1 \)
  4. D. \( 2(\log_2 2)^2 - 1 \)

Solution

The correct option is **D**. (D. \( 2(\log_2 2)^2 - 1 \))

MATH

hard • PYQ Reworded
Question
Read carefully, then pick the best option.
Let x=x(y) x = x(y) be the solution of the differential equation \[ y = (x−ydydx)sin⁡(xy),y>0 and x\left( x - y \frac{dy}{dx} \right) \sin \left( \frac{x}{y} \right), y > 0 \text{ and } x
AI hints
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Jee Main 2025 — Hard JEE Mathematics MCQ | MyGoalPrep