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

The curve `y=ax^(3)+bx^(2)+cx` is inclined at `45^(@)` to X-axis at (0, 0), but it touches X-axis at (1, 0), then the values of a, b, c are given by:

A

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

B

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

C

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

D

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

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The correct Answer is:
B
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