The line y+14=0 cuts the curve whose equation is x(x^2+x+1)+y=0 at

JEE Advanced Mathematics question

The line cuts the curve whose equation is at

Answer: (B),(C)

Putting : . By trial is a root:

++x-14=(x-+3x+7)=0 .

The quadratic factor has , so the only real solution is : the

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Question ID VK-108008