JEE Main 2022 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2022

Let Q be the mirror image of the point P(1, 0, 1) with respect to the plane S : x + y + z = 5. If a line L passing through (1, −1, −1), parallel to the line PQ meets the plane S at R, then is equal to :

Answer: (2)

Solution

The direction ratios of PQ are those of the normal of S, (1, 1, 1). So L is (x − 1)/1 = (y + 1)/1 = (z + 1)/1 = . It meets S where ,

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Question ID VK-025000