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Find the modulus and argument of the fol...

Find the modulus and argument of the following complex number `z = -1 - isqrt3`

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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Represent the quotient (7(cos((3pi)/4)+isin((3pi)/4)))/(21(cos(pi/4)+i...

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  2. Show that the points representing the complex numbers 3+2i, 2-i and -7...

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  3. Find the modulus and argument of the following complex number z = -1 ...

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  4. Represent each of the following numbers in polar form. -sqrt3 + i

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  5. Convert the following complex numbers into polar form 1 - i

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  6. Convert the following complex numbers into polar form -1 + i

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  7. Convert the following complex numbers into polar form -1 -i

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  8. Convert the following complex numbers into polar form -3

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  9. Represent the complex number sqrt3+i in the polar form.

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  10. express the complex number i in the polar form.

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  11. What is the conjugate of 2 + i?

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  12. Express (2 + 3i)^2 in the form x + iy

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  13. Express (2 + 3i)^2/(2+i) in the form x + iy

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  14. Solve 1/z + 1/(2+i) = 1/(1+3i)

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  15. If abs(a+ib) = 1 then what is the value of a^2+b^2?

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  16. If (a^2+b^2)=1,Prove that (1+b+ai)/(1+b-ai)= b+ai

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  17. Match the following

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  18. If x = 4 + sqrt7i, find x^2 and x^3.Hence, find the value of x^3-4x^2-...

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  19. If (a+i)^2/(2a-i) = p+iq, prove that p^2+q^2 = (a+1)^2/(4a^2+1)

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  20. Sheeba proved the same relation stated above by expressing (a+i)^2/(2a...

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