If tangent to the curve $x = at^{2},\ y = 2at$ is perpendicular to $x$-axis, then its point of contact is

Question

Dr. Abubacker · Accepted Answer

(c)
We have, $x = at^{2} \Rightarrow \frac{dx}{dt} = 2at$
and $y = 2at\ \  \Rightarrow \frac{sy}{st} = 2a$
$	herefore\$ Slope of tangent $\frac{dy}{dx} = \frac{2a}{2at} = \frac{1}{t}$
$\Rightarrow \ \ \frac{1}{t} = \infty$
$\Rightarrow \ \ \ t = 0\ \  \Rightarrow$ Point of contact is (0, 0)

Q. If tangent to the curve $x = at^{2},\ y = 2at$ is perpendicular to $x$-axis, then its point of contact is

Explanation

Reviewed by Dr. Abubacker

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