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

A variable plane moves so that sum of the reciprocols of it's intercepts on the co-ordinate axes is (1)/(2) . Then the plane passes through

A variable plane moves so that the sum of reciprocals of its intercepts on the three coordinate axes is constant, show that it passes through a fixed point.

A variable plane moves so that the sum of reciprocals of its intercepts on the three coordinate axes is constant lambda . It passes through a fixed point whose coordinate are (a) (lambda,lambda,lambda) (b) ((-1)/lambda,(-1)/lambda,(-1)/lambda) (c) (1/lambda,1/lambda,1/lambda) (d) (-lambda,-lambda,-lambda)dot

A variable plane moves in such a way that the sum of the reciprocals of its intercepts on co-ordinate axes is constant. Show that the plane passes through 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)

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