Equation of any circle passing through the point(s) of intersection of circle `S=0` and line `L=0` is `S + kL = 0`. Let `P(x_1, y_1)` be a point outside the circle `x^2 + y^2 = a^2` and `PA and PB` be two tangents drawn to this circle from `P` touching the circle at `A and B`. On the basis of the above information : Equation of circumcircle of `DeltaPAB` is : (A) `x^2 + y^2 + xx_1 + yy_1 = 0` (B) `x^2 + y^2 + xx_1 - yy_1 = 0` (C) `x^2 + y^2 + xx_1 - yy_1 - a^2 = 0` (D) `x^2 + y^2 - xx_1 - yy_1 - a^2 = 0`

The equation of any circle passing through the points of intersection of the circle S=0 and the line L=0 is

Equation of any circle passing through the point(s) of intersection of circle S=0 and line L=0 is S + kL = 0 . Let P(x_1, y_1) be a point outside the circle x^2 + y^2 = a^2 and PA and PB be two tangents drawn to this circle from P touching the circle at A and B . On the basis of the above information : If P lies on the px + qy = r , then locus of circumcentre of DeltaPAB is : (A) 2px + 2qy = r (B) px+qy=r (C) px - qy = r (D) 2px - 2py = r

Equation of any circle passing through the point(s) of intersection of circle S=0 and line L=0 is S + kL = 0 . Let P(x_1, y_1) be a point outside the circle x^2 + y^2 = a^2 and PA and PB be two tangents drawn to this circle from P touching the circle at A and B . On the basis of the above information : The circle which has for its diameter the chord cut off on the line px+qy - 1 = 0 by the circle x^2 + y^2 = a^2 has centre (A) (p/(p^2 + q^2), (-q)/(p^2 + q^2) (B) (p/(p^2 + q^2), (q)/(p^2 + q^2) (C) (p/(p^2 + q^2), (q)/(p^2 + q^2) (D) none of these

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 .

The equation of the circle having centre (0, 0) and passing through the point of intersection of the lines 4x + 3y = 2 and x + 2y = 3 is

Find the equation of the circle passing through the point (1,9), and touching the line 3x + 4y + 6 = 0 at the point (-2,0) .