﻿ A hyperbola, having the transverse axis of the length , is confocal with the ellipse 3x2 + 4y2 = 12. Then, its equation is   : Kaysons Education

# A Hyperbola, Having The Transverse Axis Of The Length , Is Confocal With The Ellipse 3x2 + 4y2 = 12. Then, Its Equation Is

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## Question

### Solution

Correct option is

The equation of the ellipse is .

Let e be its eccentricity. Then,

.

So, coordinates of its foci are (1, 0) and (–1, 0).

Let the equation of the hyperbola be

It is given that  and the hyperbola is confocal to the ellipse.

Hence the equation of the parabola is

.

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