﻿ The area of the parallelogram formed by tangents at the extremities of two conjugate diameters of the ellipse  is equal to : Kaysons Education

# The Area Of The Parallelogram Formed By Tangents At The Extremities Of Two Conjugate Diameters Of The Ellipse  is Equal To

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## Question

### Solution

Correct option is

4ab

Let POP’ and QOQ’ be conjugate diameters of the ellipse. Then

Then

Tangents are drawn at these extremites to from parallelogramEFGH.

If    Δ = area of FEGH = 4. Area of  gm OPEQ

= 4 . 2 . Area of ΔOPQ

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