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If (sqrt3 + i)^10 = a + i b, then a and ...

If `(sqrt3 + i)^10 = a + i b`, then `a` and `b` are respectively

A

128 & `128sqrt(3)`

B

64 and `64sqrt(3)`

C

512 and `512sqrt(3)`

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. If sqrt(x+i y)=+-(a+i b), then findsqrt(- x-i ydot)

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  2. The locus of the points z satisfying the condition arg ((z-1)/(z+1))=p...

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  3. If (sqrt3 + i)^10 = a + i b, then a and b are respectively

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  4. If "Re"((z-8i)/(z+6))=0, then lies on the curve

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  5. If z=(sqrt3/2+i/2)^5+(sqrt3/2-i/2)^5, then

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  6. If z=x+iy and omega=(1-iz)/(z-i), then |omega|=1 implies that in the c...

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

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

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

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

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  11. sum(k=1)^6 (sin(2pik)/7 -icos(2pik)/7)=?

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

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  13. If |a(i)| lt 1, lambda(i) ge 0 for i=1,2,……n and lambda(1)+lambda(2)+…...

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

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

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

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  17. The points representing cube roots of unity

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

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  19. 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 n is a positive integer greater than unity z is a complex number sa...

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