Q. 24
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
A. (0, 0, 0)
B. (1, 1, 1)
C. 
D. (2, 2, 2)
Answer :
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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