Home Maths Conic Sections Ellipse Let 'd' be the perpendicular distance from t…
Maths Conic Sections Ellipse Single Correct MCQ
Published on: August 14, 2026

Let 'd' be the perpendicular distance from the centre of the ellipse + = 1 to the tangent drawn at a point P on the ellipse. If F 1 and F 2 are the two foci of the ellipse then
(PF 1 – PF 2 ) 2 = K where K=

A
4a 2
B
3a 2
C
2a 2
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
A

Let tangent is x = a and P(a, 0)

Now, PF 1 = a – ae, PF 2 = a + ae ⇒ d = a

= (PF 1 – PF 2 ) 2 ⇒ (a – ae – (a + ae)) 2 = 4a 2 e 2 = 4a

2 = 4a 2

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