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Given that for any complex number z, abs...

Given that for any complex number z, `absz^2 = zoverlinez` . Prove that `abs(z_1+z_2)^2 = abs(z_1)^2 + 2Re(z_1overlinez_2) + abs(z_2)^2`

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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Consider the complex number z1 = 2 - i and z1 = -2 + i Raju prove tha...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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