Question

Number of points from where perpendicular tangents to the curve $\frac{x^2}{16}-\frac{y^2}{25}=1$ can be drawn, is:

• A. 1
• B. 2
• C. 0
• D. 3

Answer 1

The correct option is C

0

Director circle is set of points from where drawn tangents are perpendicular in this case $x^2+y^2=a^2-b^2$ (equation of director circle)i.e., $x^2+y^2=-9$ is not a real circle so there is no points from where tangents are perpendicular.