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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
- Using the value of i^2, prove that 1/i=-i
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- Prove that (1+i)^4(1+1/i)^4=16
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- Express (3-i)^2/(2+i) in the form x+iy
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- Find the conjugate of (3-i)^2/(2+i)
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- Using the results abs(z^2) = absz^2 and abs(z1/z2) = (abs(z1))/abs(z2)...
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- Express (1)/(1-2i)+(3)/(1+i) in the form x + iy
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- Find the modulus of the complex number (1/(1-2i)+3/(1+i)) ((3+4i)/(2-4...
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- Evaluate sqrt(-16)+3sqrt(-25)+sqrt(-36)-sqrt(-625)
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- A student writes the formula sqrt(ab) = sqrtasqrtb. Then he substitute...
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- Evaluate 4x^2+8x+35, when x=2+sqrt-3
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- Consider the complex number z1 = 3+i and z2 = 1+i .What is the conjuga...
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- Consider the complex number z1 = 3+i and z2 = 1+i .Find 1/z2
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- Consider the complex number z1 = 3+i and z2 = 1+i .Using the value of ...
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- Prove that abs((a+i)^2/(2a-i)) = (a^2+1)/(sqrt(4a^2+1))
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- 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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- If x=(1+i)/sqrt2, prove that x^2 = i
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- If x=(1+i)/sqrt2.Prove that x^6+x^4+x^2+1=0
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- Prove that abs((1+i)/(1-i)) = 1
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- If a+ib = sqrt((1+i)/(1-i)), prove that a^2+b^2=1
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- Prove that abs(costheta-isintheta) = 1
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