WBJEE · Maths · Quadratic Equation
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 & Solution
Correct Answer
(D) \(a < 0, c < 0\)
Step-by-step Solution
Detailed explanation
Let \(f(x)=a x^{2}+b x+c\) \(\Rightarrow \quad f(1)=a+b+c
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