Find the radius of the smallest circle which touches the straight line `3x-y=6` at `(1,-3)` and also touches the line `y=x` . Compute up to one place of decimal only.

Find the radius of a circle which touches two lines 3x-4y-6=0 and 6x-8y+1=0.

If the radius of the smallest circle which touches the line " 3x-y=6 " at (1,-3) and also touches the line " x=y " is " sqrt(a)(10-4sqrt(b)) " where a "&b" are prime numbers,then find the value of " (b+a)^(3)+(b-a)^(3) "

Radius of smaller circle that touches the line y=x at (1,1) and also touches the x -axis is:

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

Find the area (in square units of the circle which touches the lines 4x+3y=15 and 4x+3y=5

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 a circle with centre (1,-3) and touches the line 2x-y-4=0.

Find the equation of a circle whose centre is (2,-1) and touches the line x-y-6=0.

Find the equation of the family of circles touching the lines x^(2)-y^(2)+2y-1=0

Find the equation of the circle which touches both the axes and the straight line 4x+3y=6 in the first quadrant and lies below it.