The locus of the point of intersection of the tangents drawn at the extremities of a normal chord of the…

The locus of the point of intersection of the tangents drawn at the extremities of a normal chord of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ is
  1. $\frac{a^2}{x^2}-\frac{b^2}{y^2}=a^2+b^2$
  2. $\frac{a^4}{x^2}-\frac{b^4}{y^2}=\left(a^2-b^2\right)^2$
  3. $\frac{a^3}{x^2}-\frac{b^3}{y^2}=\left(a^2+b^2\right)^2$
  4. $\frac{a^6}{x^2}-\frac{b^6}{y^2}=\left(a^2+b^2\right)^2$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2018 (24 Apr Shift 2)

Practice more Hyperbola questions on Aicharya