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Convert the following in the polar form:...

Convert the following in the polar form: `(1+ 3i)/(1-2i)`

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MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
  1. Express 1+isqrt3 in polar form.

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  2. Convert the following complex numbers in polar form : i.

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  3. Convert the following in the polar form: (1+ 3i)/(1-2i)

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  4. Find the absolute values and arguments of following complex numbers : ...

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  5. Find the absolute values and arguments of following complex numbers : ...

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  6. Find the absolute values and arguments of following complex numbers : ...

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  7. If two complex numbers z1,z2 are such that |z1|= |z2|, is it then nece...

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  8. Give the following in polar form : sin 120^@ -i cos 120^@.

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  9. Give the following in polar form : [2(cos 210^@ + i sin 210^@)] [4(c...

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  10. Give the following in polar form : [3(cos 225^@ + i sin 225^@)] [6(c...

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  11. Give the following quotients in polar form : (9(cos 90^@ + isin 90^@...

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  12. Give the following quotients in polar form : (7(cos 135^@ + isin 135...

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  13. Express the following in the polar form : 1+i.

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  14. Express the following in the polar form : -1 -i.

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  15. Express 1+isqrt3 in polar form.

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  16. Express the following in the polar form : (-16)/(1+ sqrt3 i).

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  17. Show that for z in C, |z|=0 if and only if z=0.

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  18. If z= x + iy, x, y real, prove that : |x|+|y| le sqrt2 |z|.

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  19. Define addition and multiplication of two complex numbers z1 and z2. H...

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  20. Define addition and multiplication of two complex numbers z1 and z2. H...

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