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For any two complex number z1a n d\ z2 p...

For any two complex number `z_1a n d\ z_2` prove that: `|z_1-z_2|geq|z_1|-|z_2|`

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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. For any two complex number z1a n d\ z2 prove that: |z1-z2|lt=|z1|+|z2|

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

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

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

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

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

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  7. 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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  9. Find the modulus and argument of the following complex number and henc...

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

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

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

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  13. Write the values of the square root of idot

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

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  15. 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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  16. If pi < theta <2pi and z=1+costheta+isintheta , then write the value o...

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

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

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  19. Write 1-i in polar form.

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

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