A variable chord of circle `x^(2)+y^(2)+2gx+2fy+c=0` passes through the point `P(x_(1),y_(1))`. Find the locus of the midpoint of the chord.

A variable chord of the circle x^2 + y^2 - 2 ax = 0 is drawn through the origin. Then the locus of the centre of the circle drawn on this chord as diameter is:

The length of the shortest chord of the circles x^(2)+y^(2)+2gx+2fy+c=0 which passes through the point (a,b) inside the circle is

The locus of midpoints of chords of the circle x^(2)+y^(2)-2px=0 passing through the origin is

A variable chord is drawn through the origin to the circle x^(2)+y^(2)-2ax=0. Find the locus of the center of the circle drawn on this chord as diameter.

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle. The radius of that circle is

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle. The radius of that circle is

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is (a) x^2+y^2+3x+4y=0 (b) x^2+y^2=36 (c) x^2+y^2=16 (d) x^2+y^2-3x-5y=0

A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5) meeting the circle at the point A and Bdot A point Q is taken on the chord such that 2P Q=P A+P B . The locus of Q is (a) x^2+y^2+3x+4y=0 (b) x^2+y^2=36 (c) x^2+y^2=16 (d) x^2+y^2-3x-5y=0

The locus of midpoints of the chord of the circle x^(2)+y^(2)=25 which pass through a fixed point (4,6) is a circle.The radius of that circle is