MHT CET 2025 Mathematics question

MathematicsStraight LinesMHT CET 2025

The line MN whose equation is x – y – 2 = 0 cuts the X-axis at M and co-ordinates of N are (4, 2). The line MN is rotated about M through in anticlockwise direction. The equation of the line MN in the new position is

Answer: (D)

Solution

Put in : (and indeed lies on the line). The slope of MN is , so its inclination is . Rotating anticlockwise through about M gives inclination

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Question ID VK-103162