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MHT CET 2024 Mathematics question

MathematicsThree Dimensional GeometryMHT CET 2024

A line makes angle with positive X-axis and make equal angles with positive Y-axis and Z-axis respectively, then the sum of the three angles which the line makes with positive X- axis, Y- axis and Z- axis is

Answer: (C)

Solution

Let the line make angles , and with the axes. Direction cosines satisfy , so (positive axes, so ), hence

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Question ID VK-095530