Home Maths Conic Sections JEE Main 2021 - ( Ellipse ) On the ellipse let P be a point in the seco…
Maths Conic Sections JEE Main 2021 - ( Ellipse ) Single Correct MCQ
Published on: August 14, 2026

On the ellipse let P be a point in the second quadrant such that the tangent at P to the ellipse is perpendicular to the line x + 2y = 0. Let S and S’ be the foci of the ellipse and be its eccentricity. If A is the area of the triangle SPS' then, the value of (5-e 2 ). A is :

A
6
B
12 `
C
14
D
24

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Verified by Experts
The correct answer is:
A

Equation of tangent: y = 2x + 6

At P

∴ P(−8/3, 2/3)

S& S’= (−2, 0)&(2, 0)

Area of

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