Question
The slope of the tangent to the curve x=3 t^2+1, y=t^3-1 at x=1 is:
BITSAT
Mathematics
Differentiation
2023
BITSAT 2023 (Memory Based Paper 2)
BITSAT Mathematics Question (2023) — Solution
Options
- A. 1 2
- B. 0
- C. -2
- D.
Answer
B. 0
Step-by-step solution
Given curve is x=3 t^2+1 Second curve is y=t^3-1 d y d x = d y d t d t d x =3 t^2 1 6 t = t 2 But from (i) when x=1 we have 1=3 t^2+1 3 t^2=0 t=0 When x =1 then t =0 dy dx = 0 Hence, slope of the tangent to the curve =0
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