A line AB makes intercepts of length a and b on the coordinate axes. Find the equation of the parabola passing through A, B and the origin if AB is the shortest focal chord of the parabola.

A circle makes intercepts of length 2a and 3b on the coordinates axes.The equation ofthe tangent from the origin to the circle is

Length of the shortest normal chord of the parabola y^(2)=4ax is

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

ABCD is a square, the length of whose side is a. Taking AB and AD as the coordinate axes, the equation of the circel passing through the ceteices of the square is

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 , which passes through the origin and cuts off intercepts a and b from the axes.

Find the equation of a line making intercept 4 and 5 on the coordinate axes .

A line has intercepts a and b on the coortdinate axes.When the axes are rotateed through an angle alpha, keeping the origin fixed, the line makes equal intercepts on the coordinate axes,then tan alpha=

Find the equation of line passing through (2.4) and parallel to the line having intercepts -5 and 10 on the coordinate axes.