If the chord of contact of $\mathrm{P}\left(x_1, y_1\right)$ with respect to the circle $x^2+y^2=a^2$ meets…

If the chord of contact of $\mathrm{P}\left(x_1, y_1\right)$ with respect to the circle $x^2+y^2=a^2$ meets the circle at $\mathrm{A}$ and $\mathrm{B}$; and if $\lfloor \mathrm{AOB}=90^{\circ}$, then $x_1^2+y_1^2=$
  1. $a^2$
  2. $2 a^2$
  3. $3 a^2$
  4. $4 a^2$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 1)

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