If centre of the circle lies on `x+y=2` and it touches the line `x=3` and `y=2`. Find the dismeter of the circle.

The line 5x-y=3 is a tangent to a circle at the point (2,7) and its centre is on theline x+2y=19. Find the equation of the circle.

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

Centre of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2 is

Find the locus of the centre of the circle touching the line x+2y=0 andx =2y

The centre of the circle (x-a)^(2)+(y-3)^(2)=9 lies on the straight line x=y and the circle touches the circle x^(2)+y^(2)=1 externally.What are the values of alpha,beta?

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4. The radius of the circle is :

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y=4. The radius of the circle is

A circle touches the lines x-y- 1 =0 and x -y +1 =0. the centre of the circle lies on the line