A straight line cuts intercepts from the coordinate axes sum of whose reciprocals is `1/p`. It passses through a fixed point

A st.line cuts intercepts from the axes,the sum of the reciprocals of which equals 4. Show that it always passes through a fixed pt.Find that fixed point.

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on the three coordinate axes is constant.Show that the plane passes through a fixed point.

A variable line makes intercepts on the coordinate axes the sum of whose squares is constant and is equal to a.Find the locus of the foot of the perpendicular from the origin to this line.

A variable plane moves so that the sum of the reciprocals of its intercepts on the coordinate axes is (1//2) . Then, the plane passes through the point

The line L has intercepts a and b on the coordinate axes. The coordinate axes are rotated through a fixed angle, keeping the origin fixed. If p and q are the intercepts of the line L on the new axes, then (1)/(a^(2))-(1)/(p^(2))+(1)/(b^(2))-(1)/(q^(2)) is equal to

A line passes through the point (3, 4) and cuts off intercepts, from the coordinates axes such that their sum is 14. The equation of the line is :

The straight line whose sum of the intercepts on theaxes is equal to half of the product of the intercepts,passes through the point whose coordinates are

Find the equation of the line that cuts off equal intercepts on the coordinate axes and passes through the point (4,7).

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2,3) .