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

Find the equation of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 and whose centre lies on the line 2x+y=0 .

2x+y=0 is the equation of a diameter of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 The centre and radius of the circle are

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.

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 touches a circle at the point (2, 5) and the centre of the circle lies on x-2y=4 . The diameter (in units) of the circle is

If a circle touches the line 3x+4y+5=0 at (1,-2) and the centre lies on 2x+3y-14=0 then its centre and radius are

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 passes through a point (2,8) and touches the lines 4x-3y-24=0 and 4x+3y+42=0 and centre lies on the line x=lambda then (-4 lambda) is

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