IT_JEE MAIN_10-04-2019_S2 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE MAIN 2019

10-04-2019 S2

Question

If $\cos ^{-1} x-\cos ^{-1} \frac{y}{2}=\alpha$, where $1 \leq x \leq 1,-2 \leq y \leq 2$, $x \leq \frac{y}{2}$, then for all $x, y, 4 x^2-4 x y \cos \alpha+y^2$ is equal to:

Select the correct option:

$2 \sin ^2 \alpha$

$4 \sin ^2 \alpha-2 x^2 y^2$

$4 \cos ^2 \alpha+2 x^2 y^2$

$4 \sin ^2 \alpha$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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