Question

Locus of the point of intersection of two perpendicular tangents to the hyperbola $\frac{x^{2}}{a^{2}}$– $\frac{y^{2}}{b^{2}}$= 1 is-

• A. x² + y² = a² –b²
• B. x² + y² = a² + b²
• C. x² –y² = a² – b²
• D. x² – y² = a² + b²

Answer 1

Answer: (A)

x² + y² = a² –b²

Answer 2

$\frac{x^{2}}{a^{2}}$ – $\frac{y^{2}}{b^{2}}$= 1

Locus of the point of intersection of two ^ tangent is director circle.

equation of director circle x² + y² = a² – b²