Question

Tangent drawn from a point on the circle $x^2+y^2=11$ to the hyperbola $\frac{x^2}{36}-\frac{y^2}{25}=1,$ then tangents are at angle

• A. $\frac{\pi }{4}$
• B. $\frac{\pi }{2}$
• C. $\frac{\pi }{3}$
• D. $\frac{2\pi }{3}$

Answer 1

The correct option is B $\frac{\pi }{2}$

The circle $x^2+y^2=11$ is Director circle to Hyperbola $\frac{x^2}{36}-\frac{y^2}{25}=1$

So the Tangents Are perpendicular to each other.

Hence, the angle is $\frac{\pi }{2}$.