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If z is a complex number then...

If z is a complex number then

A

`z+barz and zbarz` are both purely real

B

`z+barz` is purely real but `zbarz` is not

C

`zbarz` is purely real nut `z+barz` is not

D

neither `z+barz` nor `zbarz` need be purely real

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A
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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
  1. If alpha=root(3)(1) and alpha is not real then alpha^(3n+1)+alpha^(3n+...

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  2. If 1,omega,omega^(2) are the cube roots of unity, then the roots of t...

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  3. If z is a complex number then

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  4. If z=ibarz then

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  5. The value of sqrti is

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  6. Prove that (sqrt(3)/(2) +(i)/(2))^(5) + (sqrt(3)/(2) -(i)/(2))^(5) is...

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  7. If zr = sinfrac(2pir)(11)-icosfrac(2rpi)(11) then : the value of sum(r...

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  8. If zr = sinfrac(2pir)(11)-icosfrac(2rpi)(11) then : the value of sum(r...

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  9. The complex numbers sin x - i cos 2x and cos x - i sin 2x are conjugat...

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  10. If |z1|= |z2|=1 and amp z1+ampz2=0 then

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  11. If z1 and z2 are two non zero complex number such that|z1+z2|=|z1|+|z2...

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  12. The inequality |z+2| lt |z-2| represents the region given by

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  13. Let z1 and z2 be complex numbers of such that z1!=z2 and |z1|=|z2|. I...

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  14. If z1=aib and z2=c+id are complex numbes such that |z1|=|z2|=1 and Re(...

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  15. if |z1|= |z2| ne 0 and amp (z1)/(z2)=pi then

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  16. If z1 and z2 are two nonzero complex numbers such that |z1-z2|=|z1|-|z...

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  17. If z1,z2 are nonreal complex and |(z1+z2)/(z1-z2)|=1 then (z1)/(z2) is

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  18. If z=2+3i, then |z^2|^3 is equal to

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  19. The equation z^5+z^4+z^3+z^2+z+1=0 is satisfied by

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  20. The points, z1,z2,z3,z4, in the complex plane are the vartices of a pa...

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