The slope of the tangent to the curve x = 3t2 + 1, y = t3 – 1 at x = 1 is
Given that x = 3t2 + 1, y = t3 – 1
For x = 1,
3t2 + 1=1
⇒ 3t2 = 0
⇒ t =0
Now, differentiating both the equations w.r.t. t, we get
⇒Slope of the curve:
For t =0,
Slope of the curve =0
Hence, option B is correct.