EllipseHard

Question

If F1 & F2 are the feet of the perpendiculars from the foci S1 & S2 of an ellipse = 1 on the tangent at any point P on the ellipse, then (S1F1). (S2F2) is equal to 

Options

A.2
B.3
C.4
D.5

Solution

e =
∴   S1 = ( √2, 0), S2 = (- √2, 0 )
Equation of tangent is y = mx +
S1F1 =
S2F2 =
Now (S1 F1) (S2F2) = = 3.

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