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MHT CET 2022 Mathematics question

MathematicsThree Dimensional GeometryMHT CET 2022

A line makes the same angle '' with each of the x and y axes. If the angle '' which it makes with the z-axis, is such that , then the angle is

Answer: (B)

Solution

The direction cosines are with , so and hence . The given condition then gives , so and

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Question ID VK-097050