In R, let L be a straight line passing through the origin. Suppose that all the...

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In R, 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 P : x +2y-z + 1 = 0 and P : 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 P. Which of the following points lie(s) on M? (A) (0. 0, 5 -- 6 " 5 (C) 0, 2 (B) 1 11 (+48) 6 1 (D) (-3,0 0, 2|3 In R, 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 P : x +2y-z + 1 = 0 and P : 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 P. Which of the following points lie(s) on M? (A) (0. 0, 5 -- 6 " 5 (C) 0, 2 (B) 1 11 (+48) 6 1 (D) (-3,0 0, 2|3