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Coordinates of a point on the curve y = ...

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

A

(0,0)

B

(e,e)

C

`(e^(2), 2e^(2))`

D

`(e^(-2), -2e^(-2))`

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The correct Answer is:
D
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