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

A straight line moves in such a manner that the sum of the reciprocals of its intercepts upon the axes is always constant. Show that the line passes throught a fixed point .

A straight line moves in such a maaner that the sum of the reciprocals of its intercepts upon the coordinate axes is always (1)/(2) . Show that line always passes through the point (2,2)

Show that the sum of the intercepts of the tangent to the curve sqrtx+sqrty=sqrta on the coordinate axes is constant.

Sum of the reciprocal intercepts on the axes by a moving straight line in its all position remain constant .Show that straight line always passes throguh a fixed point .

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

A straigh line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10. Find the equation of the straight line.

If a point moves on a plane is such a way that the sum of its distances from two fixed points on the plane is always a constant then the locus traced out by the moving point on the plane will be _

A point P is moving in a cartesian plane in such a way that the area of the rectangle formed by the lines through P parallel to the coordinate axes together with ccordinate axes is constant. Find the equation of the locus of P .

Show that the sum of the intercept on the coordinates axes of tangent to the curve sqrt(x)+sqrt(y)=sqrt(a) at any point on it is constant.