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If the eccentricity of hyperbola x^2/a^2...

If the eccentricity of hyperbola `x^2/a^2-y^2/b^2=1` is `5/4` and `2x+3y-6=0` is a focal chord of hyperbola, then length of transverse axis is:

A

`12/5`

B

6

C

`24/7`

D

`24/5`

Text Solution

Verified by Experts

The correct Answer is:
D
Given ,e = `5/4` foci of a hyperbola is `(+-ae,0)i.e.(+-5/4a,0).`
` since the chrod is 2x+3y-6=0 `
`therefore point `(+-5/4 a,0)`=24/5`
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