Mark against the correct answer in each of the following:

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


Given: Variable plane moves so that the sum of the reciprocals of its intercepts on the coordinate axes is (1/2)


Formula Used: Equation of a plane is



Explanation:


Let the intercepts made by the plane on the co-ordinate axes be a, b and c.



Let the equation of the plane be



On solving for each of the given options,


(0, 0, 0) ⇒ LHS ≠ RHS


(1, 1, 1) ⇒ LHS ≠ RHS




Therefore, plane passes through the point (2, 2, 2)

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