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Find the modulus-amplitude form of the c...

Find the modulus-amplitude form of the complex number `(1+7i)/(2-i)^2`

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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Represent each of the following numbers in polar form. -sqrt3 + i

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  2. Represent each of the following numbers in polar form. 4i

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  3. Find the modulus-amplitude form of the complex number (1+7i)/(2-i)^2

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  4. Prove that (cos45^@ + isin45^@)^2 = i

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  5. Represent the quotient (7(cos((3pi)/4)+isin((3pi)/4)))/(21(cos(pi/4)+i...

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

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

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

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

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

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

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

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

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

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  15. What is the conjugate of 2 + i?

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

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

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

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

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

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