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Let z!=i be any complex number such that...

Let `z!=i` be any complex number such that `(z-i)/(z+i)` is a purely imaginary number. Then `z+ 1/z` is

A

a non-zero real number other than 1

B

a purely imaginary number

C

a non-zero real number

D

0

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES LEVEL 1
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  3. Let z!=i be any complex number such that (z-i)/(z+i) is a purely imagi...

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  4. The point z(1),z(2),z(3),z(4) in the complex plane are the vertices o...

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  5. if the complex no z1 , z2 and z3 represents the vertices of an equ...

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  8. If z1 and z2 are two complex number and a, b, are two real number then...

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  9. a and b are real numbers between 0 and 1 such that the points z1 =a+ i...

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  12. If |z|=1 and omega=(z-1)/(z+1) (where z in -1), then Re(omega) is

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  13. Let z and w be two complex numbers such that |Z| <= 1, |w|<=1 and |z -...

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  16. If z1 and z2 are two complex numbers such that |(z1-z2)/(z1+z2)|=1, th...

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  17. For any complex number z , find the minimum value of |z|+|z-2i|dot

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  18. If x=2+ 5i then the value of x^3-5x^2+33x-19 is

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  19. If z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex ...

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  20. The real part of z = (1)/(1-cos theta + i sin theta) is

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