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Complex Numbers And Quadratic Equations
The coefficient of x^{n} in expansion of (1+x)(1x)^{n} is
(n1)
(1)^{n}(1n)
(1)^{n1}(n1)^{2}
(1)^{n1}n
B.
(1)^{n}(1n)
The coefficient of x^{n} in expansion of (1+x)(1x)^{n} is = coefficient of ^{xn} + coefficient of x^{n1}
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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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