If a, b, c ∈ R and α is a real root of the equation ax 2 + bx + c = 0, and β is the real…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If a, b, c ∈ R and α is a real root of the equation
ax2 + bx + c = 0, and β is the real root of the equation
–ax2 + bx + c = 0, then the equation \(\frac{\mathrm{a}}{2}\)x2 + bx + c = 0 has
ax2 + bx + c = 0, and β is the real root of the equation
–ax2 + bx + c = 0, then the equation \(\frac{\mathrm{a}}{2}\)x2 + bx + c = 0 has
- real roots
- none- real roots
- has a root lying between α and β
- None of these
Answer
(A) real roots, (C) has a root lying between α and β
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