A tangent to the ellipse is cut by the tangent at the extremities of the major axis at and

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

A tangent to the ellipse

4x^2 + 9y^2 = 36

is cut by the tangent at the extremities of the major axis at

T

and

T'

. The circle

TT'

as diameter passes through the point (1)

(-\sqrt{5}, 0)

(2)

(\sqrt{5}, 0)

(3)

(\sqrt{3}, 0)

(4)

(-\sqrt{3}, 0)