MHT CET 2024 Mathematics question

MathematicsThree Dimensional GeometryMHT CET 2024

A line with positive direction cosines passes through the point P (2,1,2) and makes equal angles with the coordinate axes. The line meets the plane at point Q. The length of the line segment PQ equals units.

Answer: (C)

Solution

Equal angles with the axes and positive direction cosines mean , so points on the line are where . For the printed plane this gives , so , which is not among the

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Question ID VK-094933