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The curve y=ax^(3)+bx^(2)+cx is inclined...

The curve `y=ax^(3)+bx^(2)+cx` is inclined by `45^(@)` to x-axis at origin and it touches x-axis at (1,0). Then

A

`a=-2,b=1,c=1`

B

`a=1,b=1,c=-2`

C

`a=1,b=-2,c=1`

D

`a=-1,b=2,c=1`

Text Solution

Verified by Experts

The correct Answer is:
C
`f'(0) =1,f(1)=0,f'(1)=0` on solving above three.
`a=1,b=-2,c=1`
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