Question

Let \(a, b, c\) be real numbers such that \(a+b+c<0\) and the quadratic equation \(a x^{2}+b x+c=0\) has imaginary roots. Then
(A) \(a>0, c>0\)
(B) \(a>0, c<0\)
(C) \(a<0, c>0\)
(D) \(a<0, c<0\)

Answer 1

Ans : (D)
Hint : \(f(x)=a x^{2}+b x+c, f(1)<0\) so \(f(x)<0 \forall x \in R \Rightarrow f(0)<0 \Rightarrow c<0 \Rightarrow a<0\) and \(c<0\)

Answer 2

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Answer 3

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