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Find the modulus and argument of the fol...

Find the modulus and argument of the following complex numbers and convert them in polar form.
` (1 + 2i)/(1 - 3i)`

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The correct Answer is:
`1/(sqrt2)(co s (3pi)/4 + i si n (3pi)/4)`
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FULL MARKS-COMPLEX NUMBERS -ADDITIONAL QUESTIONS SOLVED
  1. Find the least positive integer n such that ((1 + i)/(1 - i))^(n) = 1.

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  2. Find x and y for which of the following is satisfied. ((1+i)x-2i)/(3...

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  3. Find the modulus and argument of the following complex numbers and con...

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  4. Find the square roots of -15 - 8i

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  5. Express the following in the standard form a + ib. (i^4 + i^9 + i^(16)...

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  6. Find the modulus or the absolute value of ((1 + 3i)(1 - 2i))/((3 + 4i)...

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  7. Find the modulus and principal argument of the following complex numbe...

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  8. Show that the points represented by the complex numbers 7+9i, -3+7i, 3...

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  9. Find the square root of (-7 + 24i).

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  10. If the imaginary part of (2z + 1)/(iz + 1) is -2, then show that the l...

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  11. If the real part of (barz + 2)/(barz - 1) is 4, then show that locus o...

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  12. Show that |(z-3)/(z + 3)| = 2 represent a circle

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  13. If arg(z - 1) = pi/6 and arg(z + 1) = 2 pi/3 , then prove that |z| = 1...

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  14. P represents the variable complex number z. Find the locus of P, if Im...

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  15. P represents the variable complex number z find the locus of z if : ...

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  16. Write the following complex numbers in the polar form : 1- i

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  17. Find the modulus and principal argument of (1 + i) and hence express i...

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  18. Express the following complex numbers in the polar form. (i) (1 + i)...

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  19. Express the following complex numbers in the polar form : 2 + sqrt(3) ...

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  20. Find the modulus and principal argument of the following complex numbe...

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