Let $C$ be the centre of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and $P$ be a point on it. If the…

Let $C$ be the centre of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$ and $P$ be a point on it. If the tangent at $P$ to the hyperbola meets the straight lines $b x-a y=0$ and $b x+a y=0$ respectively in $Q$ and $R$, then $C Q . C R=$
  1. $a^2-b^2$
  2. $a^2+b^2$
  3. $\frac{1}{a^2}-\frac{1}{b^2}$
  4. $\frac{1}{a^2}+\frac{1}{b^2}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 2)

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