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If the curve `y=ax^(3) +bx^(2) +c x ` is inclined at `45^(@)` to x-axis at (0, 0) but touches x-axis at (1, 0) , then

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If the curve `y=ax^(3) +bx^(2) +c x ` is inclined at `45^(@)` to x-axis at (0, 0) but touches x-axis at (1, 0) , then
A. a= 1, b = -2, c = 1
B. a = 1, b = 1, c = -2
C. a = -2, b = 1, c = 1
D. a = -1, b = 2, c = 1
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Correct Answer - A
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