The co-ordinates of a point on the curve y=x x at which the normal is parallel to the line 2x-2y=3 are

MHT CET 2024 Mathematics question

The co-ordinates of a point on the curve at which the normal is parallel to the line are

Answer: (D)

The line has slope , so the normal has slope and the tangent has slope (product of slopes ). For , . Setting gives , so and \ln$

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Question ID VK-092667