Multiple choice

If the radius of the circumcircle of the triangle TPQ where PQ is chord of contact corresponding to point T with respect to circle $\displaystyle x^{2}+y^{2}-2x+4y-11=0 $ is $6$ units then distance of T from the director circle of the given circle is

  1. $6$
  2. $12$
  3. $\displaystyle 6\sqrt{2} $
  4. $12$ - $\displaystyle 4\sqrt{2} $
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D Correct answer
Explanation

This involves circle geometry properties, specifically the chord of contact and the director circle. The distance of the point T from the director circle is derived from the power of the point and the radius of the circumcircle.

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