If 
constant, then the locus of the point of intersection of tangents at 
and 
to the ellipse 
is
a)
A circle
b)
A straight line
c)
An ellipse
d)
A parabola
If constant, then the locus of the point of intersection of tangents at and to the ellipse is
a)
A circle
b)
A straight line
c)
An ellipse
d)
A parabola
Question ID - 56043 | SaraNextGen Top Answer
If constant, then the locus of the point of intersection of tangents at and to the ellipse is
a)
A circle
b)
A straight line
c)
An ellipse
d)
A parabola
|
If |
|||||||
|
a) |
A circle |
b) |
A straight line |
c) |
An ellipse |
d) |
A parabola |
1 Answer
127 votes
Answer Key / Explanation : (c) -
(c)
Tangent to the ellipse at 
and 
are
(i)
and 
(ii)
Solving Eqs. (i) and (ii), we get
Squaring and adding, we get
(where 
(constant) given)
Which is an ellipse
127 votes
Answer Link
127