Family OF circle

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

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 ol circles x^(2)+y^(2)=r^(2),2

Illustration Based upon Family Circles

Illustration Based upon Family Circles

The value of b,such that the solution of x= by (dy)/(dx) represents a family circles with centre origin is

Form a differential equation of family of all circles having center on the x - axis and radius 2 units.