Question
A tangent to the ellipse 
+ 
= 1 is cut by the tangent at the extremities of the major axis at T and T' and the circle on TT' as diameter passes through the point Q, then Q may be -
- (–
, 0)
- (2, 3)
- (0, 0)
- (3, 2)
, 0)
The correct answer is: (–, 0)
equation of tangent
+ 
= 1
T 
, 
equation of circle TT' as diameter
(x+3) (x – 3) + 
= 0
x2 – 9 + y2 + 
sin2
– 4cosec y = 0
x2 + y2 – 4y cosec – 5 = 0
which satisfied by 1st option only.
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