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The locus of the point satisfying the co...

The locus of the point satisfying the condition amp. `((z-1)/(z+1))=(pi)/(3)` is

A

a line through the origin

B

circle

C

parabola

D

a line not through the origin

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The correct Answer is:
B
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  3. The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...

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  6. If |z|=1 and w=(z-1)/(z+1) (where z ne -1), then Re (w) is :

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

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

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

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

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

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

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

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

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