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Find the modulus and argument of each of...

Find the modulus and argument of each of the following complex number: `1+isqrt(3)`

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The given complex number is, `z = - 1 - isqrt(3)`
Let `r cos theta = - 1` and `r sinθ = - sqrt3`
Squaring and adding, ...
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Find the square root of the following complex number: -11-60sqrt(-1)

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

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

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

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

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

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

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

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

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

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

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

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  13. Find the modulus and principal argument of (1+i) and hence express it ...

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  14. Find the modulus and principal argument of -2i

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  15. Find the modulus and principal argument of -4.

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  16. Express the following complex number in the polar form:(1+i)/(1-i)

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  17. Express the following complex number in the polar form:(2+6sqrt(3)i)/(...

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  18. Put the complex number (1+7i)/((2-i)^2) in the form r(costheta+i\ sint...

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  19. Find the modulus and argument of the following complex number and conv...

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  20. Find the modulus and argument of the following complex number and conv...

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