If tangent to the curve x = at2, y = 2at is perpendicular to x-axis then its point of contact is
Answer & explanation
Correct answer: option 4
$\frac{d x}{d t}=2 a t, \frac{d y}{d t}=2 a \Rightarrow \frac{d y}{d x}=\frac{2 a}{2 a t}=\frac{1}{t}$
$\Rightarrow \frac{1}{t}=\infty$ ⇒ t = 0 ⇒ Point is (0,0)