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If ` z_(1)` and `z_(2)` are complex number and `(z_(1))/(z_(2))` is purely imaginary then `|((z1+z2)/(z1-z2))|=`

A

a)1

B

b)2

C

c)3

D

d)4

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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  4. If |z|=1 and w=(z-1)/(z+1) (where z ne -1), then Re (w) is :

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  5. If the complex number (1-i sin theta)/(1+2 i sin theta) is purely imag...

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  6. The complex numbers z(1), z(2), z(3) are three vertices of a parallelo...

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  7. The complex numbers 1,-1, i sqrt(3) form

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  8. If x=cis A, y=cis B, z =cis C where A, B, C are the angles of a trian...

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  12. The value of (-1+i sqrt(3))^(48)=

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  13. If z=(sqrt(3)+i)/(2) then z^(69)=

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  14. (1+i)^(6)+(1-i)^(6)=

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  15. One of the value of (cos (pi)/(6)+i sin (pi)/(6))^(1 / 2)+(cos (pi)/(6...

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  16. One of the values of ((cos (pi)/(6)-i sin (pi)/(6))^(1 / 2))((cos (pi)...

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  17. If ((1+cos theta+i sin theta)/(sin theta+i+i cos theta))^(4)=cos n th...

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  18. ((cos theta+i sin theta)/(sin theta+i cos theta))^(4)=

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  19. ((sin (pi/8)+i cos (pi/8))/(sin (pi/8)-i cos (pi/8)))^(8)=

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  20. ((1+cos. pi/8+isin. pi/8)/(1+cos. pi/8- isin. pi/8))^(8)=

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