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Consider the complex number z1 = 3+i and...

Consider the complex number `z_1 = 3+i` and `z_2 = 1+i` .Using the value of `1/z_2`, find `(z_1)/z_2`

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2 - i
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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Consider the complex number z1 = 3+i and z2 = 1+i .What is the conjuga...

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  2. Consider the complex number z1 = 3+i and z2 = 1+i .Find 1/z2

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  3. Consider the complex number z1 = 3+i and z2 = 1+i .Using the value of ...

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  4. Prove that abs((a+i)^2/(2a-i)) = (a^2+1)/(sqrt(4a^2+1))

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

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  6. If x=(1+i)/sqrt2, prove that x^2 = i

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  7. If x=(1+i)/sqrt2.Prove that x^6+x^4+x^2+1=0

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  8. Prove that abs((1+i)/(1-i)) = 1

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  9. If a+ib = sqrt((1+i)/(1-i)), prove that a^2+b^2=1

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  10. Prove that abs(costheta-isintheta) = 1

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  11. If (costheta-isintheta)^2 = x -iy, show that x^2+y^2 = 1

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  12. Complete the following table

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  13. When two complex numbers are equal? Find the real values of x and y fo...

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  14. Match the following

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

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

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

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

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

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

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