State the necessary conditions on and for a parametric curve to have a vertical…

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

Problem

State the necessary conditions on

\dfrac{dx}{dt}

and

\dfrac{dy}{dt}

for a parametric curve

x=f(t),\,y=g(t)

to have a vertical tangent at the point corresponding to

t=t_0