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If abs(a+ib) = 1 then what is the value ...

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

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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Express (2 + 3i)^2/(2+i) in the form x + iy

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

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

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

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  5. Match the following

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

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

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

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  9. Match the following

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  10. Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) Find...

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  11. Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) find...

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  12. Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) Find...

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  13. Express (1-3i)/(1+2i) in the form x+iy

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  14. Find the polar form of the complex number (1-3i)/(1+2i)

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

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

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  17. Express (1-i)/(sqrt3+i) in polar form

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  18. Express (1-i)(sqrt3+i) in polar form

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  19. Plot the points represented by the complex numbers 1+i, 2+i, 2+3i, 1+3...

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  20. What are the cartesian co-ordinates of the points 1+i, 2+i, 2+3i, 1+3...

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