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

Suppose `z_1 = 1 - i` and `z_2 = -2 + 4i` Joseph evaluted `abs((z_1z_2)/z_1)` using the following properties
(a)modulus of a quotient is the quotient of the moduli
Modulus of a product is the product of the moduli
(c) Modulus of `overlinez` =Modulus of z
Write the steps carried out by Joseph

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The correct Answer is:
`2sqrt5`
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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Suppose z1 = 1 - i and z2 = -2 + 4i Find overlinez1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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