Question: Number of points on hyperbola $\frac{x^{2}}{a^{2}}$– $\frac{y^{2}}{b^{2}}$ = 1 from where mutual...

Question

Number of points on hyperbola $\frac{x^{2}}{a^{2}}$ – $\frac{y^{2}}{b^{2}}$ = 1 from where mutually perpendicular tangents can be drawn to circle

x² + y² = a².

Answer 1

Director circle of circle x² + y² = 2a² .......(i)

Q (i) intersect hyperbola at four points

Question: Number of points on hyperbola \(\frac{x^{2}}{a^{2}}\)– \(\frac{y^{2}}{b^{2}}\) = 1 from where mutual...