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For any two complex number z 1 ​ and z 2 ​ prove that Re(z 1 ​ z 2 ​ )=Rez 1 ​ Rez 2 ​ −Imz 1 ​ Imz 1 ​

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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
  1. Find the modulus and argument of the following complex number and conv...

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

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

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

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

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

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

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  16. Write the values of the square root of idot

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

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

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

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