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Express the following complex numbers in...

Express the following complex numbers in the standard form `a+i b :(1/(1-4i)-2/(1+i))((3-4i)/(5+i))`

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Verified by Experts

Given that,
`(1/(1-4i)-2/(1+i))((3-4i)/(5+i))`
`=[(1-i-2+3i)/((1-4i)(1+i) )] [(3-4i)/(5+i)]`
`=[(-1+9i)(3-4i)]/[(1+4-3i)(5+i)]`
...
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Express the following complex numbers in the standard form a+i b :((2+...

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  2. Express the following complex numbers in the standard form a+i b :(1+2...

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  3. Express the following complex numbers in the standard form a+i b :(1/(...

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  4. Express the following complex numbers in the standard form a+i b :(3+2...

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  5. Express the following complex numbers in the standard form a+i b :(1-i...

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  6. Express the following complex numbers in the standard form a+i b :((1+...

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  7. Express the following complex numbers in the standard form a+i b :(3-4...

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  8. Express the following complex numbers in the standard form a+i b :(5+s...

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  9. Find the real values of x\ a n d\ y ,\ if:(x+i y)(2-3i)=4+i

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  10. Find the real values of x\ a n d\ y ,\ if:((1+i)x-2i)/(3+i)+((2-3i)y+i...

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  11. Find the real values of x\ a n d\ y ,\ if:(3x-2iy)(2+i)^2=10(1+i)

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  12. Find the real values of x\ a n d\ y ,\ if:(1+i)(x+i y)=2-5i

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  13. Find the conjugates of the following complex number: 4-5i

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  14. Find the conjugates of the following complex number: 1/(3+5i)

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  15. Find the conjugates of the following complex number: 1/(1+i)

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  16. Find the conjugates of the following complex number: ((1+i)(2+i))/(3+i...

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  17. Find the conjugates of the following complex number: ((3-i)^2)/(2+i)

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  18. Find the conjugates of the following complex number: ((3-2i)(2+3i))/((...

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  19. Find the multiplicative of the following complex number: 1-i

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  20. Find the multiplicative of the following complex number: \ 4-3i

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