JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-41
question_answer
If \[{{F}_{1}}\] and \[{{F}_{2}}\] be the feet of the perpendiculars, from the foci \[{{S}_{1}}\] and \[{{S}_{2}}\] of an ellipse \[\frac{{{x}^{2}}}{5}+\frac{{{y}^{2}}}{3}=1\]on the tangent at any point P on the ellipse, then \[({{S}_{1}}{{F}_{1}})({{S}_{2}}{{F}_{2}})\]is equal to
A) 2
B) 3
C) 4
D) 5
Correct Answer:
B
Solution :
We know that the product of perpendiculars from two foci of an ellipse upon any tangent is equal to b2 ie, 3.