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If z is any complex number, then the poi...

If z is any complex number, then the points `z,iz,-z,-iz`

A

form a square

B

form a trapenzium

C

are collinear

D

lie on a circle `|z|=sqrt2` with centre (0,0) and radius `sqrt2`

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Knowledge Check

  • If z is a complex number such that Re(z)=Im(z) , then

    A
    `Re(z^2)=0`
    B
    `Img(z^2)=0`
    C
    `Re(z^2)=Img(z^2)`
    D
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  • If z is a non zero complex number, such that 2iz^(2)= barz then |Z| is

    A
    `(1)/(2)`
    B
    1
    C
    2
    D
    3

  • Fir any complex number z, the minimum value of |z|+|z-1| is

    A
    `1`
    B
    `0`
    C
    `(1)/(2)`
    D
    `(3)/(2)`

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