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If the vertices of a hyperbola be at (-2...

If the vertices of a hyperbola be at (-2, 0) and (2, 0) and one of its foci be at (-3, 0), then which one of the following points does not lie on this hyperbola ?

A

`(4,sqrt(15))`

B

`(-6,2sqrt(10))`

C

`(6,5sqrt(2))`

D

`(2sqrt(6),5)`.

Text Solution

Verified by Experts

The correct Answer is:
C
`a=2,a e=3`
`e^2=1+(b^2)/(a^2)`
`(9)/(4)=1+(b^2)/(4)rArr b^2=5` eq. of hyperbola is `(x^2)/(4)-(y^2)/(5)=1`.
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