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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