Let and be two distinct points on the parabola

MATHEMATICS · Multi correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Let

A

and

B

be two distinct points on the parabola

y^2=4x

. If the axis of the parabola touches a circle of radius

r

having

AB

as its diameter, the slope of the line joining

A

and

B

can be (1)

-\frac{1}{r}

(2)

\frac{1}{r}

(3)

\frac{2}{r}

(4)

-\frac{2}{r}