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Complex Numbers And Quadratic Equations
If z^{2} + z + 1 = 0, where z is a complex number, then the value of
18
54
6
E.
12
z^{2} + z + 1 = 0 ⇒ z = ω or ω^{2}
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If the cube roots of unity are 1, ω, ω^{2} then the roots of the equation (x – 1)^{3 }+ 8 = 0, are
The value of α for which the sum of the squares of the roots of the equation x^{2} – (a – 2)x – a – 1 = 0 assume the least value is
If roots of the equation x^{2} – bx + c = 0 be two consectutive integers, then b^{2} – 4c equals
If z_{1} and z_{2} are two nonzero complex numbers such that z_{1} + z_{2} = z_{1} + z2 then argz_{1} – argz_{2} is equal to
If the equation a_{n}x^{n} +a_{n1}x^{n1} +....... +a_{1}x =0, a_{1} ≠ 0, n≥2, has a positive root x = α, then the equation na_{n}x^{n1} + (n1)a_{n1}x_{n2} +......+a_{1} = 0 has a positive root, which is
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