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12th Standard English Medium Maths Subject Complex Numbers Book Back 1 Mark Questions with Solution Part - II

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 5

    1 Marks

    5 x 1 = 5
  1. If \(\frac { z-1 }{ z+1 } \) is purely imaginary, then |z| is

    (a)

    \(\frac { 1 }{ 2 } \)

    (b)

    1

    (c)

    2

    (d)

    3

  2. If z = x + iy is a complex number such that |z+2| = |z−2|, then the locus of z is

    (a)

    real axis

    (b)

    imaginary axis

    (c)

    ellipse

    (d)

    circle

  3. If \(\alpha \) and \(\beta \) are the roots of x2+x+1 = 0, then \({ \alpha }^{ 2020 }+{ \beta }^{ 2020 }\) is

    (a)

    -2

    (b)

    -1

    (c)

    1

    (d)

    2

  4. The product of all four values of \(\left( cos\cfrac { \pi }{ 3 } +isin\cfrac { \pi }{ 3 } \right) ^{ \frac { 3 }{ 4 } }\) is

    (a)

    -2

    (b)

    -1

    (c)

    1

    (d)

    2

  5. If \(\omega =cis\cfrac { 2\pi }{ 3 } \), then the number of distinct roots of \(\left| \begin{matrix} z+1 & \omega & { \omega }^{ 2 } \\ \omega & z+{ \omega }^{ 2 } & 1 \\ { \omega }^{ 2 } & 1 & z+\omega \end{matrix} \right| \)=0

    (a)

    1

    (b)

    2

    (c)

    3

    (d)

    4

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