Question

The number of point(s) outside the hyperbola $\frac{x^2}{25}-\frac{y^2}{36}=1$ from where two perpendicular tangents can be drawn to the hyperbola is/are:

• A. none
• B. 1
• C. 2
• D. Infinity

Answer 1

Answer: (A)

none

Director circle is the locus of point of intersection of perpendicular tangents drawn to a curve:

$\Rightarrow x^2+y^2=a^2-b^2$

Director circle of given hyperbola is $x^2+y^2=-11$

which is not possible.