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  • If the vertices of a hyperbola be at    and   <img alt="(2,0)" src="https://entrancecorner

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?

Option: 1

(2 \sqrt{6}, 5)


Option: 2

(-6,2 \sqrt{10})


Option: 3

(6,5 \sqrt{2})


Option: 4

(4, \sqrt{15})


Answers (1)

best_answer

Here   \mathrm {a=2, a e=3 \Rightarrow e=\frac{3}{2}} 

\mathrm {\therefore b^2=a^2 e^2-a^2=9-4=5}

So, the equation of hyperbola is  \mathrm { \frac{x^2}{4}-\frac{y^2}{5}=1} 
The point  \mathrm { (6,5 \sqrt{2}) } does not lie on this hyperbola.

Posted by

HARSH KANKARIA

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