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If a=sqrt(2i), then which of the followi...

If `a=sqrt(2i)`, then which of the following is correct?

A

`a=1+i`

B

`a=1-i`

C

`a=-2(sqrt(2))i`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
  1. Which of the following is correct?

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  2. If a=sqrt(2i), then which of the following is correct?

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  3. Let z(1),z(2) be two complex numbers such that z(1)+z(2) and z(1)z(2) ...

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  4. If the complex numbers z(1),z(2),z(3) are in AP, then they lie on

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  5. The locus of complex number z for which ((z-1)/(z+1))=k , where k is n...

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

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  7. If sqrt(x+i y)=+-(a+i b), then findsqrt(- x-i ydot)

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

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

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

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

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

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

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

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

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

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

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

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

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

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