If the chord of contact of a point P w.r.t. the hyperbola {x^{2}}/{a^{2}}- {y^{2}}/{b^{2}}=1 passes through a fixed point (\alpha, \beta), then the locus of {P} is a straight line. The sum of the squares of the intercepts made by this line on the coordinate axes is

Correct Answer is : a4α2+b4β2

{a^{4}}/{\alpha^{2}}+ {b^{4}}/{\beta^{2}}

{\alpha^{4}}/{a^{2}}+ {\beta^{4}}/{b^{2}}

{\alpha^{2}}/{4 a^{2}}+ {\beta^{2}}/{4 b^{2}}

{a^{2}}/{4 \alpha^{2}}+ {b^{2}}/{4 \beta^{2}}

AP EAPCET 08-Jul-2022 Shift 1 Paper

Section: Mathematics

Question : 55 of 160

Marks: +1, -0

If the chord of contact of a point P w.r.t. the hyperbola ‌

−‌

=1 passes through a fixed point (α,β), then the locus of P is a straight line. The sum of the squares of the intercepts made by this line on the coordinate axes is

‌
a4
α2
+‌
b4
β2
‌
α4
a2
+‌
β4
b2
‌
α2
4a2
+‌
β2
4b2
‌
a2
4α2
+‌
b2
4β2

Validate

Go to Question:

Prev Question

Next Question