Family of circles

consider a family of circles passing through two fixed points S(3,7) and B(6,5) . If the common chords of the circle x^(2)+y^(2)-4x-6y-3=0 and the members of the family of circles pass through a fixed point (a,b), then

Suppose the family of lines ax+by+c=0 (where a, b, c are in artihmetic progression) be normal to a family of circles. The radius of the circle of the family which intersects the circle x^(2)+y^(2)-4x-4y-1=0 orthogonally is

Consider a family of circles passing through the point (3,7) and (6,5). Answer the following questions. If each circle in the family cuts the circle x^(2)+y^(2)-4x-6y-3=0 , then all the common chords pass through the fixed point which is

The members of a family of circles are given by the equation 2(x^(2)+y^(2))+2x-(1+lambda^(2))y-10=10 The number of circles belonging to the family that are cut orthogonally by the fixed circle x^(2)+y^(2)+4x+6y+3=0 is

Consider the family of circles x^2 + y^2= r^2 2 lt r lt 5 . If in the first quadrant, the common tangent to a circle of this family and the ellipse frac{x^(2)}{25} +frac{y^(2)}{4} =1 meets the axes at A and B then find the equation of the locus of middle point of AB.

Which one of the following is the differential equation of family to circles having centre at the origin ?

If the differenential equation (dx)/(3y+f)+(dy)/(px+g)=0 represents a family of circle, then p=

If the order of the differential equation of the family of circle touching the x - axis at the origin is k, then 2k is equal to

Equation of a family of circle passing through the extremities of the latus rectum of the parabola y^(2)=4ax , g being a parametric is