A curve is represented parametrically by the equation x= t+eat and y = -t + eat when t belongs to R and a> 0.. If the curve touches the axis of x at the point A, then the coordinates of the point A are
1. (1,0)
2 (1/e, 0)
3. (e,0)
4. (2e, 0)
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UP 0 DOWN 0 0 1