Find the equation of the circle passing through the origin and the points where the line `3x+4y=12` meets the axes of coordinates.

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2

Find the equation of a line passing through the point (2,3) and parallel to the line 3x-4y+5=0 .

Find the equation of the circle passing through the point ( 2, 3) and touching the line 2x+3y=4 at the point ( 2, 0)

Find the equation of the circle which passes through the origin and cuts off intercepts -2 and 3 from the coordinate axes .

Find the equations of the lines passing through the point (4,5) parallel to lines 3x=4y+7 .

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.

Find the equation of a line passing through origin and parallel to the line 3x-5y+2=0 .

Find the equation of the circle passing through the origin, having its centre on the line x+y=4 and intersecting the circle x^2+y^2-4x+2y+4=0 orthogonally.

Find the equation of a circle passing through the points (-1,5) and (-7,5) and its centre lies on the line 3x+4y+8=0.