Tangents PQ and PR are drawn to the circle `x^2 + y^2 = a^2` from the point `P(x_1, y_1)`.Prove that equation of the circum circle of `trianglePQR` is `x^2+y^2-x x_1 - yy_1= 0`.

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 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 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 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 .

Tangents AB and AC are drawn to the circle x^(2)+y^(2)-2x+4y+1=0 from A(0.1) then equation of circle passing through A,B and C is

Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x - 4y -11=0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is: