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If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-...

If `z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5` , then a. `R e(z)=0` b. `I m(z)=0` c. `R e(z)>0` d. `R e(z)>0,I m(z)<0`

A

Re(z)=0

B

Im(z)=0

C

Re(z) `gt 0`, Im(z) `gt 0`

D

Re(z) `gt 0` , Im `(z) lt 0`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
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  2. If "Re"((z-8i)/(z+6))=0, then z lies on the curve

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  3. If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I...

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  5. Let 3-i and 2+i be affixes of two points A and B in the Argand plane a...

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  6. POQ is a straight line through the origin O,P and Q represent the comp...

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  7. If z1=a + ib and z2 = c + id are complex numbers such that |z1|=|z2|=...

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  8. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

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  9. about to only mathematics

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  10. The equation barbz+b barz=c, where b is a non-zero complex constant an...

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  11. If |a(i)|lt1lamda(i)ge0 for i=1,2,3,.......nandlamda(1)+lamda(2)+........

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  12. For any two complex numbers, z(1),z(2) and any two real numbers a and ...

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  13. Common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(2020)+z^(2018)...

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  14. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(1-bar...

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  15. The points representing cube roots of unity

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  16. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+...

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  17. If z(1), z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+z(2...

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  20. If at least one value of the complex number z=x+iy satisfies the condi...

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