### JEE Main 12 Jan 2019 Morning Question 22

##### Question: 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? [JEE Main Online Paper Held On 12-Jan-2019 Morning]

#### Options:

A) $ (2\sqrt{6},5) $

B) $ (-6,2\sqrt{10}) $

C) $ (6,5\sqrt{2}) $

D) $ (4,\sqrt{15}) $

## Show Answer

#### Answer:

Correct Answer: C

#### Solution:

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

$ \therefore $ $ b^{2}=a^{2}e^{2}-a^{2}=9-4=5 $ So, the equation of hyperbola is $ \frac{x^{2}}{4}-\frac{y^{2}}{5}=1 $

The point $ (6,5\sqrt{2}) $ does not lie on this hyperbola.