JEE MATHEMATICS MCQ: HYPERBOLA

1 Easy

1 of 1

Analyzing +4 | -1

If there are two points

A

and

B

on rectangular hyperbola

x y=c^2

such that abscissa of

A=

ordinate of

B

, then the locus of point of intersection of tangents at

A

and

B

View answer and explanation

Correct option: C

y=x

Option C (

y=x

) is correct because the points A and B are symmetrical about the line

y=x

, so the intersection of tangents at A and B will lie on

y=x

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x

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H

e

H

e

\mathrm{H}

\left( {1, - 1} \right),

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