Conic Sections Question 375

Question: The sum of the focal distances of any point on the conic $ \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 $ is

[Karnataka CET 2005]

Options:

A) 10

B) 9

C) 41

D) 18

Show Answer

Answer:

Correct Answer: A

Solution:

For any point P on the ellipse have focus S and Sยข $ SP+{S}‘P=2a $

For $ \frac{x^{2}}{25}+\frac{y^{2}}{16}=1 $

Sum of focal distances = 2 X 5 = 10.



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