The radius of the of circle touching the line `2x + 3y +1 = 0` at (1,-1) and cutting orthogonally the circle having line segment joining (0, 3) and (-2,-1) as diameter is

The radius of the circle touching the line x+y=4" at "(1, 3) and intersecting x^(2)+y^(2)=4 orthogonally is

Find the equation of circle touching the line 2x + 3y + 1=0 at the point ( 1,-1) and is orthogonal to the circle which has the line segment having end poitns (0,-1) and (-2,3) as the diameter.

Find the equation of a circle having line segment,with end points (0,-1) and (2,3), as diameter.

The area (in sq. units) of the circle touching the line x+y=4 at (1, 3) and intersecting x^(2)+y^(2)=4 orthogonally is equal to

Circumference of the circle touching the lines 3x+4y-3=0,6x+8y-1=0

Equation of circle touching line 2x+y=3 at (1,1) and also passing through point (2,3) is

The radius of the circle which touches the line x+y=0 at M(-1,1) and cuts the circle x^(2)+y^(2)+6x-4y+18=0 orthogonally,is

Locus of the centre of the circle touching the line 3x + 4y + 1=0 and having radius equal to 5 units is

The equation of circle touching the line 2x+3y+1=0 at the point (1,-1) and passing through the focus of the parabola y^2=4x is