A curve is represented parametrically by and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A curve is represented parametrically by

x=t+e^{at}

and

y=t-e^{at}

, where

t\in\mathbb{R}

and

a>0

. If the curve touches the

x

-axis at point

A

, then the coordinates of

A

are (1)

(1,0)

(2)

\left(\frac{1}{e},0\right)

(3)

(e,0)

(4)

(2e,0)