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

The equation of the circle passing through the point (1,1)

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

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

Equation of a circle passing through 3points

Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for different values of a , a system of circles passing through two fixed points lying on the x-axis. Statement 2 : S=0 is a circle and L=0 is a straight line. Then S+lambdaL=0 represents the family of circles passing through the points of intersection of the circle and the straight line (where lambda is an arbitrary parameter).

Find the equation of the circle passing through the point of intersection of the lines x+3y=0 and 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0 and x-2y+4=0

The differential equation of circles passing through the points of intersection of unit circle with centre at the origin and the line bisecting the first quadrant,is

Property 1: The equation of the family of circles passing through the point of intersection of two given circles.