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Complex Numbers Test - 1

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Complex Numbers Test - 1
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Weekly Quiz Competition
  • Question 1
    1 / -0

    If ω is a cube root of unity , then (1+ω)(1+ω2)(1+ω4)(1+ω8)....... upto 2n factors is

  • Question 2
    1 / -0

    If k , l, m , n are four consecutive integers , then ik+il+im+in is equal to :

  • Question 3
    1 / -0

    Distance of the representative of the number 1 +i from the origin ( in Argand’s diagram ) is

    none of these

  • Question 4
    1 / -0

    The points 3 + 4i, 3 - 4i, - 4 + 3i, - 4 - 3i are

  • Question 5
    1 / -0

    If |z−2|=|z−6| then locus of z is given by :

  • Question 6
    1 / -0

    Find the value of (2 + 2ω + 2ω2)2 + 5.

  • Question 7
    1 / -0

    Let x,y∈R,then x + iy is a non real complex number if

    Solution

    If a complex number has to be a  non real complex number  then its imaginary part should not be zero ⇒iy≠0⇒y≠0

  • Question 8
    1 / -0

    If α and β are non-real cube roots of unity, then αβ + α5 + β5 is equal to

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