If α is an imaginary constant such that αz 2 + z + = 0 has a real root, then
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If α is an imaginary constant such that αz2 + z + \(\bar{\alpha}\)= 0 has a real root, then
- \(\alpha+\bar{\alpha}=1\)
- \(\alpha+\bar{\alpha}=0\)
- \(\alpha+\bar{\alpha}=-1\)
- the absolute value of the real root is 1
Answer
(A) + =1, (C) + =-1, (D) the absolute value of the real root is 1
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