Consider the curve defined by and

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Consider the curve defined by

x=e^{t}

and

y=t e^{t}

. Determine all values of

t

for which the tangent line to the curve passes through the point

(1,0)

, and write the corresponding equation(s) of the tangent line(s).