Let the line y−x=1 intersect the ellipse... | Ellipse

JEE MAIN_2026

_230126_S1_

Question

Let the line $y-x=1$ intersect the ellipse $\frac{x^2}{2}+\frac{y^2}{1}=1$ at the points A and B . Then the angle made by the line segment AB at the center of the ellipse is:

Select the correct option:

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

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

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

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

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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