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Put the complex number (1+7i)/((2-i)^2) ...

Put the complex number `(1+7i)/((2-i)^2)` in the form `r(costheta+i\ sintheta)`, where `r` is a positive real number and `-pilttheta le pi`.

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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. Express the following complex number in the polar form:(1+i)/(1-i)

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

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

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  4. Find the modulus and argument of the following complex number (1+2i)/(...

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

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

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  7. For any two complex number z 1 ​ and z 2 ​ prove that Re(z 1 ...

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  8. For any two complex number z1a n d\ z2 prove that: |z1-z2|lt=|z1|+|z2|

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  9. For any two complex number z1a n d\ z2 prove that: |z1+z2|geq|z1|-|z2|

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  10. For any two complex number z1a n d\ z2 prove that: |z1-z2|geq|z1|-|z2|

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

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

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

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

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

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

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

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

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

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  20. Write the values of the square root of idot

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