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

Question

Philoid · Accepted Answer

Given that the tangent to the curve x = at², y = 2at is perpendicular to x-axis.

Differentiating both w.r.t. t,

From y = 2at,

Slope of x axis = 0

⇒ a = 0

Then point of contact is (0, 0).