The curve \( y=a x^{3}+b y^{2}+c x \) is inclined by \( 45^{\circ} \) to \( x \)-axis at origin ... VIDEO
The curve \( y=a x^{3}+b y^{2}+c x \) is inclined by \( 45^{\circ} \) 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) \( a=-1, b=2, c=1 \)
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