Find the equation of the circle which has its centre at the point (3,4) and touches the straight line `5x+12 y-1=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 which passes through the points (2,3),(4,5) and the centre lies on the straight line y-4x+3=0.

Find the equation of the circle which passes through the points (2,3)(4,2) and the centre lies on the straight line y-4x+3=0.

Show that the equation of the circle which passes through the point (-1,7) and which touches the straight line x=y at (1,1) is x^2+y^2+3x-7y+2=0

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 having centre at (3,-4) and touching the line 5x+12 y-12=0.

Find the equation of the circle having centre at (3,-4) and touching the line 5x+12 y-12=0.

Find the equation of the circle which has centre C (3, 1) and which touches the line 5x-12y + 10 = 0.

Find the equation of the Circle whose centre is at the point (4, 5) and which touches the x-axis. Also find the co-ordinates of the points at which the circle cuts the y-axis.

Find the equation of the circle which passes through the points (3,7), (5,5) and has its centre on the line x-4y=1.