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

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

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

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

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

A chord of the circle x^2 + y^2 - 4x - 6y = 0 passing through the origin subtends an angle arctan(7/4) at the point where the circle meets positive y-axis. Equation of the chord 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

Find the length of the chord of the circle x^2 + y^2 =4 through (1, 1/2) which is of minimum length.

Find the length of the chord of the circle x^2 + y^2 =4 through (1, 1/2) which is of minimum length.