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Let x, y in R then x+i y is a non real c...

Let x, y in R then `x+i y` is a non real complex number is

A

x=0

B

y=0

C

`x ne 0`

D

`y ne 0`

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. The complex number z, which satisfies the condition |(1+z)/(1-z)|=1 li...

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  2. If a+i b=c+i d, then

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  3. Let x, y in R then x+i y is a non real complex number is

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  4. Let P be a point represented by the complex number Z. Rotate OP (O is ...

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  5. Which of the following is correct for any two complex numbers z(1) and...

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  6. A real value of x satisfies the equation (3-4 i x)/(3+4 i x)=alpha-i b...

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  7. If ((1+i)/(1-i))^(x)=1, then x=

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  8. The value of (z+3)(bar(z)+3) is equivalent to

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  9. If z=x+ iy lies in the third quadrant then, (barz)/(z) also lies in th...

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  10. The real value of alpha for which the expression (1-i sin alpha)/(1+2 ...

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  11. sin x+i cos 2 x and cos x-i sin 2 x are conjugate to each other for,

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  12. |(1)/((2+i)^(2))-(1)/((2-i)^(2))|

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  13. ((1-i)/(1+i))^(2)=

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  14. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

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  15. If ((1+i)/(1-i))^(m)=1, then the least positive integral value of m is

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  16. If omega is a cube roots of unity then (1-omega)(1-omega^(2))(1-omega^...

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  17. If (1+i) (1+2i) (1+3i) ….. (1+ni ) = x+iy then 2.5.10 …. (1+n^(2))=

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  18. If z=1+i then the multiplicative inverse of z^(2) is

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  19. If x+i y=sqrt((a+i b)/(c+i d)) then (x^(2)+y^(2))^(2)=

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  20. If a=cos theta+i sin theta then (1+a)/(1-a)=

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