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 equation of the line passing through the point (2, 3) and perpendicular to the line 4x+3y=10.

Find the equation of the circle passing through the point (-2,1) and touching the line 3x-2y-6=0 at the point (4,3).

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 the circle passing through the point (1,9), and touching the line 3x + 4y + 6 = 0 at the point (-2,0) .

find the equation of the straight line passing through the origin and the middle point of intercept of the line ax+by+c=0 between the axes

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

Find the equation of a line passing through the point (-3,2) and parallel to line 4x - 3y - 7 = 0 .