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 co-ordinate axes. The line meets the plane at point Q. Then the length of the line segment PQ equals

Answer: (C)

Solution

Equal angles with the axes means , and gives , so with positive direction cosines . A point of the line at distance from P is . Putting in

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Question ID VK-099874