Find the equation of the circle which has for its diameter the chord out off on the line` px+qy-1=0` by the circle `x^2+y^2 =a^2`

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

Determine equation of the circle whose diameter is the chord x+y=1 of the circle x^(2)+y^(2)=4

Find the equation of the circle whose diameter is the common chord of the circles x^(2) + y^(2) + 2x + 3y + 1 = 0 and x^(2) + y^(2) + 4x + 3y + 2 = 0

Find the equation of the circle which passes through the origin and cuts off chords of lengths 4 and 6 on the circle concentric with the circle x^(2)+y^(2)-6x+12y+15=0 and double of its area.

Find the equation of a circle which passes the centre of the circle x^(2)+y^(2)-6x =1 and concentric with the circle 2x^(2)+2y^(2)-8x +12y -1=0 .

Find the equation of the circle which passes through the origin and cut off equal chords of sqrt(2) units from the lines y=x and y=-x

Find the equation of the circle , centred at (1,4) , which cuts off of a chord of length 4 units on the line 3x + 4y + 1= 0

Find the equation of the circle which passes through the points (3, -2), (-2, 0) and has its centre on the line 2x - y =3.

Find the equation of the circle with center at (3,-1) and which cuts off an intercept of length 6 from the line 2x-5y+18=0