Let α and β be the roots of equation px 2 + qx + r = 0, p ≠ 0 . If p, q, r are in A.P…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
Let α and β be the roots of equation
px2 + qx + r = 0, p ≠ 0 . If p, q, r are in A.P. and \(\frac{1}{\alpha}+\frac{1}{\beta}=4,\) then the value of |α–β| is \(\frac{a \sqrt{13}}{b}\). Then a + b is :
px2 + qx + r = 0, p ≠ 0 . If p, q, r are in A.P. and \(\frac{1}{\alpha}+\frac{1}{\beta}=4,\) then the value of |α–β| is \(\frac{a \sqrt{13}}{b}\). Then a + b is :
- \(7\)
- \(10\)
- \(11\)
- \(3\)
Answer
(C) 11
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