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Equation of the normal to y = x log x parallel to 2x - 2y + 3 = 0

The same question, asked 2 times: 10 May 2023 S1, 16 May 2023 S2. Every wording below, oldest first.

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  1. Question 1

    10 May 2023 S1

    132
    The equation of the normal to the curve y=xlog⁡xy=x\log x, which is parallel to the line 2x−2y+3=02x-2y+3=0, is

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  2. Question 2

    16 May 2023 S2

    137
    The equation of the normal to the curve y=xlog⁡xy = x\log x parallel to 2x−2y+3=02x-2y+3=0 is

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