" For the circle "x^(2)+y^(2)-2x-6y=0" ,the minimum length of the chord which is drawn through "(1,2)" is "

For the circle x^(2)+y^(2)-2x-6y+1=0 the chord of minimum length and passing through (1,2) is of length-

P(-1,-3) is a centre of similitude of for the two circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x-6y+6=0 . The length of the common tangent through P to the circles is

If (2,6) is a centre fo similitude for the circle x^(2)+y^(2)=4 and x^(2)+y^(2)-2x-6y+9=0 , the length of the common tangent of circles through 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.

From the origin chords are drawn to the circle x^(2)+y^(2)-2y=0 . The locus of the middle points of these chords is

y=2x is a chord of the circle x^(2)+y^(2)-10x=0, then the equation of a circle with this chord as diameter is

The minimum length of the chord of the circle x^2+y^2+2x+2y-7=0 which is passing (1,0) is :

If the middle point of a chord of circle x^(2)+y^(2)+x-y-1=0be(1,1), then length of the chord is:

If one of the diameters of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord to the circle with center (2,1) ,then the radius of the circle is