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JEE Main20206 Sep 2020Evening ShiftMathematicsApplication of DerivativesActual

If the tangent to the curve, y = f x = x log e x , x > 0 at a point c , f c is parallel to the line-segment joining the points 1 , 0 and e , e ,then c is equal to :

Options

  1. Ae - 1 e
  2. Be 1 e - 1
  3. Ce 1 1 - e
  4. D1 e - 1

Correct answer

B. e 1 e - 1

Step-by-step solution

f ' c = 1 + l n c = e e - 1 l n c = 1 e - 1 c = e 1 e - 1

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