The locus of a variable point whose chord of contact w.r.t. the hyperbola {x^{2}}/{a^{2}}- {y^{2}}/{b^{2}}=1 subtends a right angle at the origin is

Correct Answer is : x2a4+y2b4=1a2−1b2

{x^{2}}/{4 a^{2}}- {y^{2}}/{4 b^{2}}=1

( {x^{2}}/{a^{2}}- {y^{2}}/{b^{2}})= {x^{2}}/{a^{4}}+ {y^{2}}/{b^{4}}

\frac{x}{a}-\frac{y}{b}=\frac{1}{a^{2}}+\frac{1}{b^{2}}

{x^{2}}/{a^{4}}+ {y^{2}}/{b^{4}}=\frac{1}{a^{2}}-\frac{1}{b^{2}}

AP EAPCET 04-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 55 of 160

Marks: +1, -0

The locus of a variable point whose chord of contact w.r.t. the hyperbola ‌

−‌

=1 subtends a right angle at the origin is

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