Question

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

• A. None
• B. 1
• C. 2
• D. Infinite

Answer 1

Answer: (A)

None

Answer 2

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

i.e., x² + y² = a² - b²

Director circle of given hyperbola x² + y² = -11

which is not possible.