Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

The equation of a circle which touches the line y = x at (1 , 1) and having y = x -3 as a normal, is

The equation of a circle which touches the line y = x at (1 , 1) and having y = x -3 as a normal, is

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 .

Find the equation of the circle which touches the lines 4x-3y+10=0a n d4x-3y-30=0 and whose centre lies on the line 2x+y=0.

Find the equation of the circle with centre on the line 2x + y = 0 and touching the line 4x - 3y + 10-0, 4x - 3y = 30 .

Find the equation of the circle with centre on the line 2x + y = 0 and touching the line 4x - 3y + 10-0, 4x - 3y = 30 .

The locus of the centre of the circle touching the line 2x-y=1 at (1, 1) and also touching the line x+2y =1 is : (A) x+3y = 2 (B) x+2y=3 (C) x+y=2 (D) none of these

The locus of the centre of the circle touching the line 2x-y=1 at (1, 1) and also touching the line x+2y =1 is : (A) x+3y = 2 (B) x+2y=3 (C) x+y=2 (D) none of these

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 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.