The polar of a given point which respect to any one of the circles `x^(2)+y^(2)-2kx+c^(2)=0`, (k is a varaible) always passes through a fixed point whatever to be the value of k is

The polar of the given point w.r.t. the circle x^(2)+y^(2)-2lambdax+c=0 where lambda is a parameter, passes through

If (1,1),(k,2) are conjugate points with respect to the circle x^(2)+y^(2)+8x+2y+3=0 ,then k=

If (1,1), (k,2) are conjugate points with respect to the circle x^(2)+y^(2)+8x+2y+3=0 , then k=

If a,b,c in GP then the line a^(2)x+b^(2)y+ac=0 always passes through the fixed point

If (1,1), (k,2) are conjugate points with respect to the circle x^(2)+y^(2)+8x+2y+3=0 , then k=?

locus of the middle point of the chords of the circle x^(2)+y^(2)+2gx+2fy+c=0 which passed through a fixed point (a,b)

Circle x^(2)+y^(2)-2x-lambda x-1=0 passes through to fixed points,coordinates of the points are

Through a fixed point (h, k) secants are drawn to the circle x^(2) + y^(2) =a^(2) . The locus of the mid points of the secants intercepted by the given circle is

A variable circle always touches the line y =x and passes through the point ( 0,0). The common chords of above circle and x^(2) +y^(2)+ 6x + 8 y -7 =0 will pass through a fixed point whose coordinates are :