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Find the modulus and argument of the fol...

Find the modulus and argument of the following complex number and hence them in the polar form:`\ 1-i`

Text Solution

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`z=1-i`
`r=|z|`
`=sqrt{1+1}`
`=sqrt{2}`
Let `tan alpha=|frac{{Im}(z)}{{Re}(z)}|`
`therefore tan alpha=|frac{-1}{1}|`
...
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
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  2. Find the modulus and argument of the following complex number and henc...

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  8. Find the modulus and argument of the following complex number and henc...

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  10. Write (i^(25))^3 in polar form.

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  11. Write the values of the square root of idot

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  12. Write the values of the square root of -i.

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  13. If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2.

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  14. If pi<theta<2pi\ a n d\ z=1+costheta+isintheta , then write the value ...

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  15. If n is any positive integer, write the value of (i^(4n+1)-i^(4n-1))/2...

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  16. Write the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+...

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  17. Write 1-i in polar form.

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  18. Write -1+isqrt(3)\ in polar form.

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  19. Write the argument of idot

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  20. Find the principal argument of (1+isqrt(3))^2dot

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