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MHT CET 2025 Mathematics question

MathematicsThree Dimensional GeometryMHT CET 2025

Let M and N be foots of the perpendiculars drawn from the point P(a, a, a) on the lines x – y = 0, z = 1 and x + y = 0, z = -1 respectively and if MPN = then

Answer: (A)

Solution

Line 1 () has points with direction . The foot M satisfies , so . Line 2 () has points with direction . Foot N:

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Question ID VK-102887