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If P is any point on the ellipse x^(2)/3...

If P is any point on the ellipse `x^(2)/36 +y^(2)/16=1 ` and S and S', are the foci, then PS+PS'equal to

A

4

B

8

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `a^(2)=36,b^(2)=16`
` since, a gt b,the the sum of the focal distance of any point P on the ellipseis `ps+ps'=2a`
` rArrps+ps'=2x6=12`
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