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The complex number z which satisfies the...

The complex number z which satisfies the Equation `|(i+z)/(i-z)|=1` lies on

A

1)a circle `x^(2)+y^(2)=1`

B

2)the x -axis

C

3)the y -axis

D

4)the line `x+y=1`

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

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

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

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

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  10. The value of ((1+i)/(sqrt(2)))^(8)+((1-i)/(sqrt(2)))^(8)=

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  11. If x=-1-i sqrt(3) then the value of x^(3) is

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  12. If (sqrt(3)+i)^(100)=2^(99)(a+i b) then a^(2)+b^(2)=

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

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

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

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

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