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For any complex number z, prove that : -...

For any complex number z, prove that : `-|z| leR_e (z) le |z|`.

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MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
  1. Plot the following numbers on a complex number plane and find their ab...

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  2. Plot all the complex numbers in the complex number plane whose absolut...

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  3. For any complex number z, prove that : -|z| leRe (z) le |z|.

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  4. For any complex number z, prove that : -|z| leIm (z) le |z|.

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  5. Let z1=2- 3i and z2= 5 + 12i, verify that : |z1+z2| <|z1|+|z2|.

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  6. Let z1=2- 3i and z2= 5 + 12i, verify that : |z2-z1| >|z2|-|z1|.

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  7. In the following perform the indicated operations and write the result...

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  8. In the following perform the indicated operations and write the result...

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  9. In the following perform the indicated operations and write the result...

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  10. In the following perform the indicated operations and write the result...

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  11. In the following perform the indicated operations and write the result...

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  12. Express the complex number given below in the form a + ib:- (1 -i)-(-1...

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  13. Express the complex number given below in the form a + ib:- 3(7 + i7) ...

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  14. In the following perform the indicated operations and write the result...

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  15. In the following perform the indicated operations and write the result...

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  16. In the following perform the indicated operations and write the result...

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  17. In the following perform the indicated operations and write the result...

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  18. Express the complex number given below in the form a + ib:- [(1/3+i 7/...

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  19. In the following perform the indicated operations and write the result...

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  20. In the following perform the indicated operations and write the result...

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