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If |z+1|=z+2(1+i), find zdot...

If `|z+1|=z+2(1+i),` find `zdot`

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Let `z=x+iy`. Then, `z+1=(x+1)+iy`
Therefore, `abs(z+1)= sqrt((x+1) ^2 +y ^2)` ...
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. If z1 is a complex number other than -1 such that |z1|=1\ a n d\ z2=(z...

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  2. Solve the system of equations R e(z^2)=0,\ |z|=2

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  3. If |z+1|=z+2(1+i), find zdot

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  4. Find the square root of the following complex number: -5+12 i

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  5. Find the square roots of the following:8\ 6i

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  6. Find the square root of the following complex number: \ 1+4sqrt(-3)

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  7. Find the square root of the following complex number: -7-24 i

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  8. Find square root of 8-15 i

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  9. Find the square root of the following complex number: 1-i

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  10. Find the square root of the following complex number: -11-60sqrt(-1)

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  11. Find the square root of the following complex number: -i

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  12. Find the modulus and argument of each of the following complex number:...

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  13. Find the modulus and argument of each of the following complex number:...

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  14. Find the modulus and argument of each of the following complex number:...

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  15. Find the modulus and argument of each of the following complex number:...

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  16. Find the modulus and argument of the following complex number:(1+i)/(1...

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  17. Find the modulus and argument of the following complex number: 1/(1+i)

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  18. Write the following complex numbers in the polar form: -3sqrt(2)+3sqrt...

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  19. Write the following complex numbers in the polar form: -1-i

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  20. Write the following complex numbers in the polar form: \ 1+i

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