A tangent to the ellipse 
at any point 
meets the line 
at a point 
. Let 
be the image of 
in the line 
, then the circle whose extremities of a diameter are 
and 
passes through a fixed point. The fixed point is
a)
(3, 0)
b)
(5, 0)
c)
(0, 0)
d)
(4, 0)
A tangent to the ellipse at any point meets the line at a point . Let be the image of in the line , then the circle whose extremities of a diameter are and passes through a fixed point. The fixed point is
a)
(3, 0)
b)
(5, 0)
c)
(0, 0)
d)
(4, 0)
Question ID - 55849 | SaraNextGen Top Answer
A tangent to the ellipse at any point meets the line at a point . Let be the image of in the line , then the circle whose extremities of a diameter are and passes through a fixed point. The fixed point is
a)
(3, 0)
b)
(5, 0)
c)
(0, 0)
d)
(4, 0)
|
A tangent to the ellipse |
|||||||
|
a) |
(3, 0) |
b) |
(5, 0) |
c) |
(0, 0) |
d) |
(4, 0) |
1 Answer
127 votes
Answer Key / Explanation : (c) -
(c)
Equation of the tangent to the ellipse at 
is
It meets the line
at 
Image of 
in the line 
is
Equation of the circle is
i.e., 
Each member of the family passes through the intersection of 
and 
i.e., the point 
127 votes
Answer Link
127