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Fill in the blanks by choosing the correct answer from the bracket `overline(2i^3-i^2) = ....., i^(-5)` = ….. `(1-2i, 1+2i, i,-i,1, -1)` Also express `overline(2i^3-i^2) + (12i+i^(-5)) - (overline(5-i^5))` in the form x+iy

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The correct Answer is:
1 + 2i, -I, -4 + 12i
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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. When two complex numbers are equal? Find the real values of x and y fo...

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  2. Match the following

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  3. Fill in the blanks by choosing the correct answer from the bracket ove...

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  4. Suppose z1 = 1 - i and z2 = -2 + 4i Find z1z2

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  5. Suppose z1 = 1 - i and z2 = -2 + 4i Find overlinez1

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  6. Suppose z1 = 1 - i and z2 = -2 + 4i Find Im ((z1z2)/z1) and Re ((z1z2...

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  7. Suppose z1 = 1 - i and z2 = -2 + 4i Joseph evaluted abs((z1z2)/z1) usi...

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  8. Suppose z = x + iy and w = (1-iz)/(z-i) Find 1 - iz and z - 1 in the s...

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  9. Suppose z = x + iy and w = (1-iz)/(z-i) Find absw. If absw = 1, prove...

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  10. Consider the complex number z1 = 2 - i and z2 = -2 + i Find (z1z2)/z1...

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  11. Consider the complex number z1 = 2 - i and z1 = -2 + i Raju prove tha...

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  12. Consider the complex number z1 = 2 - i and z2 = 2 + i Find 1/(z1z2). ...

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  13. Given that for any complex number z, absz^2 = zoverlinez . Prove that ...

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  14. Given that for any complex number z, absz^2 = zoverlinez . Prove that ...

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  15. Represent the following complex numbers as points in the argand plane ...

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  16. Represent the following complex numbers as points in the argand plane ...

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  17. Represent the following complex numbers as points in the argand plane ...

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  18. Represent the complex number z=1+i in the polar form.

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

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

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