Question

Let \(A(1,1)\) and \(B(-1,-1)\) be the points of contact of tangents drawn from a point \(P\) to the circle \(x^2+y^2-2x+2y-2=0\). If \(C\) is the centre of the circle, then the centre of the circle passing through \(A,B,C,P\) is

• A. \(\left(-\frac16,-\frac13\right)\)
• B. \((0,0)\)
• C. \((1,1)\)
• D. \(\left(\frac16,\frac43\right)\)

Hint:

In symmetric cyclic configurations, midpoint methods save time.

Answer 1

The Correct Option is B