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Complex Numbers and Quadratic Equations
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If z^2 + αz + β = 0 has one root 1 − 2i, where α, β ∈ R. Find the value of α − β
jee main 2021 (25 feb shift 2)
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Huzaifa Noori
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Complex Numbers and Quadratic Equations
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There are two positive number p and q such that p + q = 2 and p4 + q4 = 272. Find the quadratic equation whose roots are
jee main 2021 (24 feb shift 1)
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momin
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Complex Numbers and Quadratic Equations
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The imaginary part of (3 + 2√−54)^1/2 − (3 − 2√−54)^1/2 can be
jee main 2020 (2 sep shift 2)
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Complex Numbers and Quadratic Equations
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Let α and β be the roots of the equation, 5x^2 + 6x – 2 = 0. If Sn = αn + βn, n = 1, 2, 3,....., then :
jee main 2020 (2 sep shift 1)
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Let α and β be two roots of the equation x^2 + 2x + 2 = 0, then α^15 + β^15 is equal to :
jee main 2019
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