If the sum of the slopes of the normal from a point to the hyperbola is equal to ( )

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

Problem

If the sum of the slopes of the normal from a point

P

to the hyperbola

xy = c^2

is equal to

\lambda

(

\lambda \in \mathbb{R}^+

), then the locus of point

P

is (1)

x^2 = \lambda c^2

(2)

y^2 = \lambda c^2

(3)

xy = \lambda c^2

(4) None of these