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

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

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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Find the conjugate of (3-i)^2/(2+i)

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  2. Using the results abs(z^2) = absz^2 and abs(z1/z2) = (abs(z1))/abs(z2)...

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

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  4. Find the modulus of the complex number (1/(1-2i)+3/(1+i)) ((3+4i)/(2-4...

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  5. Evaluate sqrt(-16)+3sqrt(-25)+sqrt(-36)-sqrt(-625)

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  6. A student writes the formula sqrt(ab) = sqrtasqrtb. Then he substitute...

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  7. Evaluate 4x^2+8x+35, when x=2+sqrt-3

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  8. Consider the complex number z1 = 3+i and z2 = 1+i .What is the conjuga...

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

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

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

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

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

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

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

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

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

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  19. Complete the following table

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

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