Tangents are drawn to the ellipse | ELLIPSE

JEE MAIN 2019

11-01-2019 S1

Question

If tangents are drawn to the ellipse $x^2+2 y^2=2$ at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve:

Select the correct option:

$\frac{1}{4 x^2}+\frac{1}{2 y^2}=1$

$\frac{x^2}{2}+\frac{y^2}{4}=1$

$\frac{x^2}{4}+\frac{y^2}{4}=1$

$\frac{1}{2 x^2}+\frac{1}{4 y^2}=1$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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