Find the equation of the circle which touches both the axes and the line `3x + 4y = 6`.

Find the equation of the circle which touches the coordinate axes and whose centre lies on the line x-2y=3.

Find the equation of the circle, which touches the axis of y at a distance of + 4 from the origin and intercepts a length 6 on the axis of y and cuts off an intercept 6 from the axis of x.

Find the equation of the circle, which touches the axis of x at a distance 3 from the Origin and intercepts a length 6 on the axis of y.

The equation of the circle which touches the axes of coordinates and the line x/3+y/4+=1 and whose centres lie in the first quadrant is x^2+y^2-2c x-2c y+c^2=0, where c is equal to 4 (b) 2 (c) 3 (d) 6

Find the equation of a circle which has the portion of the line 3x + 4y =14 intercepted by the lines x-y = 0 and 11x -4y= 0 as a diameter.

Find the equation of a circle, which touches the line x+ y = 5 at the point (-2, 7) and cuts the circle x^2+ y^2+ 4x - 6y +9 =0 orthogonally.

Find the equation of the circle which cuts orthogonally the circle x^2 + y^2 – 6x + 4y -3 = 0 ,passes through (3,0) and touches the axis of y.

Find the equation of the circle, which passes through the origin and makes intercepts 4 and 2 on the x and y axes respectively.

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

Find the equation of the line passing through the intersection of the lines 3x-4y+1=0 and 5x+y-1=0 which cuts off equal intercepts on the axes.