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
= 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.
∴ S1 = ( √2, 0), S2 = (- √2, 0 )
Equation of tangent is y = mx +
S1F1 =
S2F2 =
Now (S1 F1) (S2F2) =
= 3.Create a free account to view solution
View Solution FreeMore Ellipse Questions
The eccentricity of ellipse which meets straight line 2x − 3y = 6 on the X axis and 4x + 5y = 20 on the Y axis and...Equation of the ellipse whose axes are the axes of coordinates and which passes through the point (3, - 1) and has eccen...If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of theellip...The ellipse E1 : = 1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. Another ellipse E2 p...Maximum length of chord of the ellipse = 1, such that eccentric angles of its extremities differ by is -...