Question

In ℝ³, let L be a straight line passing through the origin. Suppose that all the points on L are at a constant
distance from the two planes P₁ : x + 2y - z + 1 = 0 and P₂ : 2x - y + z - 1 = 0. Let M be the locus of the
feet of the perpendiculars drawn from the points on L to the plane P1. Which of the following points lie(s)
on M ?
(A) (0, -5/6, -2/3) (B) (-1/6, -1/3, 1/6)
(C) (-5/6, 0, 1/6) (D) (-1/3, 0, 2/3)

Answer 1

Answer:

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