JEE Math Practice Question
If the tangent to the curve, y = f (x) = xloge 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 :
- A.$${{e - 1} \over e}$$
- B.$${e^{\left( {{1 \over {1 - e}}} \right)}}$$
- C.$${e^{\left( {{1 \over {e - 1}}} \right)}}$$
- D.$${1 \over {e - 1}}$$
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