Find the equation of the sphere which has centre at the origin and touches the line `2(x+1)=2-y=z+3.`

Find the equation of the circle which has its centre at the point (3,4) and touches the straight line 5x+12y-1=0 .

What is the equation of the sphere which has its centre at (6,-1,2) and touches the plane 2x-y+2z-2=0 ?

Find the equation of circle whose centre is the point (1,-3) and touches the line 2x-y-4=0

Find the equation of the circle having centre at (3,-4) and touching the line 5x+12y-12=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 having centre at (3,2), and touching the line 4x + 3y - 8 = 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 circle which touches the coordinate axes and whose centre lies on the line x-2y=3