Conic Sections Question 422

Question: The difference of the focal distance of any point on the hyperbola $ 9x^{2}-16y^{2}=144 $ , is

[MP PET 1995; Orissa JEE 2004]

Options:

A) 8

B) 7

C) 6

D) 4

Show Answer

Answer:

Correct Answer: A

Solution:

The hyperbola is $ \frac{x^{2}}{16}-\frac{y^{2}}{9}=1. $ We have difference of focal distance $ =2a=8 $ .