Curve x²+2y²=2 and line x+y=1 angle at origin... | Conic

JEE MAIN 2021

25-02-2021 S2

Question

If the curve $x^2+2 y^2=2$ intersects the line $x+y=1$ at two points $P$ and $Q$, then the angle subtended by the line segment PQ at the origin is :

Select the correct option:

$\frac{\pi}{2}+\tan ^{-1}\left(\frac{1}{3}\right)$

$\frac{\pi}{2}-\tan ^{-1}\left(\frac{1}{3}\right)$

$\frac{\pi}{2}-\tan ^{-1}\left(\frac{1}{4}\right)$

$\frac{\pi}{2}+\tan ^{-1}\left(\frac{1}{4}\right)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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