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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 | Toppr 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

1 Answer - 5876 Votes

3537

Answer Key : (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



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