Question

The number of points on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=3` from which mutually perpendicular tangents can be drawn to the circle `x^2+y^2=a^2` is/are 0 (b) 2 (c) 3 (d) 4

Answer 1

Correct Answer - A
Director circle of the circle `x^(2)+y^(2)=a^(2)" is "x^(2)+y^(2)=2a^(2)`.
The semi-transverse axis is `sqrt3a`.
The radius of the circle is `sqrt2a`.
Hence, director circle and hyperbola do not intersect.