Show that equation of the circle passing through the origin and cutting intercepts `a and b` on the coordinate axes is `x^2 + y^2 - ax - by =0`

Find the equation of the circle passing through (0,0) and making intercepts a and b on the coordinate axes..

Find the equation of the circle , which passes through the origin and cuts off intercepts a and b from the axes.

Find the equation of the plane passing through the point (-2,1,-3) and making equal intercept on the coordinate axes

Find the equation of the plane passing through the point (2, 4, 6) and making equal intercepts on the coordinate axes.

Find the equation of the circle, passing through the origin and cutting off intercepts 2a units and b units on the x-axis and y-axis respectively.

Find equation of the line passing through the point (2,2) and cutting off intercepts on the axes whose sum is 9.

Find the equation of a circle passes through the origin and cuts 'a' intercept on the positive parts of the axes.

Find the equation of a plane passes through the point (1,2,3) and cuts equal intercepts on the co-ordinate axes.

The centre of the circle passing through origin and making intercepts 8 and -4 on x and y-axes respectively is