A parabola `y^2 = 4x` is given. Also family of lines 2ax + by + 2c = 0 is given, where a, b, c are AP. The common point from which all the members of given family of lines passes through is

If a,c,b are in AP the family of line ax+by+c=0 passes through the point.

If a^2+b^2-c^2-2ab = 0 , then the family of straight lines ax + by + c = 0

If a^2+b^2-c^2-2ab = 0 , then the family of straight lines ax + by + c = 0 is concurrent at the points

2a+b+2c=0(a,b,c in R), then the family of lines ax+by+c=0 is concurrent at

The curve passing through the point (1, 2) that cuts each member of the family of parabolas y^2= 4ax orthogonally is

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

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 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

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

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