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JEE MAIN 2021
18-03-21 S2
Question
Let a tangent be drawn to the ellipse $\frac{x^2}{27}+y^2=1$ at $(3 \sqrt{3} \cos \theta, \sin \theta)$ where $\theta \in\left(0, \frac{\pi}{2}\right)$. Then the value of $\theta$ such that the sum of intercepts on axes made by this tangent is minimum is equal to:
Select the correct option:
A
$\frac{\pi}{8}$
B
$\frac{\pi}{4}$
C
$\frac{\pi}{6}$
D
$\frac{\pi}{3}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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Mathematics
Medium
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