Conic Sections Question 397

Question: If P is a point on the hyperbola $ 16x^{2}-9y^{2}=144 $ whose foci are $ S_1 $ and $ S_2 $ , then $ PS_1\tilde{\ }PS_2= $

Options:

A) 4

B) 6

C) 8

D) 12

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{x^{2}}{3^{2}}-\frac{y^{2}}{4^{2}}=1 $ . Therefore $ PS_1\tilde{\ }PS_2=2(3)=6 $ .



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