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if F(1) and F(2) be the feet of the perp...

if `F_(1)` and `F_(2)` be the feet of the perpendicular from the foci `S_(1)` and `S_(2)` of an ellipse `x^(2)/5 + y^(2)/3 = 1` on the tengent at any point P on the ellispe, then `(S_(1) F_(1)) (S_(2) F_(2))` is equal to

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
We know that the product of perpendiculars from two foci of an ellipse upon any tengent is equal to the square of the semi-minor axis.
`therefore (S_(1) F_(1)) (S_(2) F_(2)) = 3`
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