Tangent PQ and PR are drawn to the circle `x^2 + y^2 = a^2` from the pint `P(x_1, y_1)`. Find the equation of the circumcircle of `DeltaPQR`.

Tangents PA and PB are drawn to x^(2)+y^(2)=a^(2) from the point P(x_(1),y_(1)). Then find the equation of the circumcircle of triangle PAB.

Tangents OA and OB are drawn from the origin to the circle (x-1)^2 + (y-1)^2 = 1 . Then the equation of the circumcircle of the triangle OAB is : (A) x^2 + y^2 + 2x + 2y = 0 (B) x^2 + y^2 + x + y = 0 (C) x^2 + y^2 - x - y = 0 (D) x^2+ y^2 - 2x - 2y = 0

Tangents OP and OQ are drawn from the origin o to the circle x^(2)+y^(2)+2gx+2fy+c=0. Find the equation of the circumcircle of the triangle OPQ.

Tangents PQ and PR are drawn to the circle x^(2)+y^(2)=a^(2) from the point P(x_(1),y_(1)). Prove x^(2)+y^(2)=a^(2) from the point P(x_(1),y_(1)). Prove that equation of the circum circle of /_PQR is x^(2)+y^(2)-xx_(1)-yy_(1)=0

Tangents PA and PB are drawn to the circle (x+3)^(2)+(y-4)^(2)=1 from a variable point P on y=sin x. Find the locus of the centre of the circle circumscribing triangle PAB.

Tangents PQ, PR are drawn to the circle x^(2)+y^(2)=36 from the point p(-8,2) touching the circle at Q,R respectively. Find the equation of the circumcircle of DeltaPQR .