Class 11Mathematics4-2.Quadratic Equations and InequationsSolution of quadratic equations and Nature of roots
DifficultLet $a, b, c$ be three real numbers such that $a + 2b + 4c = 0$. Then the equation $ax^2 + bx + c = 0$
- Ahas both the roots complex
- Bhas its roots lying within $-1 < x < 0$
- Chas one of roots equal to $\frac{1}{2}$
- Dhas its roots lying within $2 < x < 6$
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