Prove that the produt of the perpendicul...

Prove that the produt of the perpendicular distacne from any points on a hyperbola to its asymptotes is constant.

A

`(ab),((sqrt(a)+sqrt(b))`

B

`(ab),(a^2+b^2)`

C

`(a^2b^2),(a^2+b^2)`

D

`(a^2+b^2),(a^2b^2)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

The product of perpendiculars drawn from any point on a hyperbola to its asymptotes is

The product of lengths of perpendicular from any point on the hyperbola x^(2)-y^(2)=8 to its asymptotes, is

The product of perpendicular drawn from any points on a hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 to its asymptotes is

Find the product of the length of perpendiculars drawn from any point on the hyperbola x^(2)-2y^(2)-2=0 to its asymptotes.

The locus ofthe foot of the perpendicular from the centre of the hyperbola