The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse 
forms a triangle of constant area with the coordinate axes is
a)
A straight line
b)
A hyperbola
c)
An ellipse
d)
A circle
The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse forms a triangle of constant area with the coordinate axes is
a)
A straight line
b)
A hyperbola
c)
An ellipse
d)
A circle
Question ID - 55955 | SaraNextGen Top Answer
The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse forms a triangle of constant area with the coordinate axes is
a)
A straight line
b)
A hyperbola
c)
An ellipse
d)
A circle
|
The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse |
|||||||
|
a) |
A straight line |
b) |
A hyperbola |
c) |
An ellipse |
d) |
A circle |
1 Answer
127 votes
Answer Key / Explanation : (b) -
(b)
The chord of contact of tangents from 
is
It meets the axes at the points 
and 
Area of the triangle is 
(constant)
(
is constant)
is the required locus
127 votes
Answer Link
127