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Question
The slope of the tangent to the curve x=t2+3t8,y=2t22t5 at the point t = 2 is
Options:
A .  76
B .  56
C .  67
D .  1
Answer: Option C
:
C
We have,
dxdt=2t+3anddydt=4t2dydx=dy/dtdx/dt=4t22t+3
Thus, slope of the tangent to the curve at the point t = 2 is
[dydx]t2=4(2)22(2)+3=67
Thus, slope of the tangent to the curve at the point t = 2 is
Hence (c) is the correct answer

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