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V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
- Solve: sqrt2x^2+x+sqrt2=0
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- Solve the equation sqrt(3) x^(2)-sqrt(2) x+3 sqrt(3)=0
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- Solve: x^2+x+1/sqrt2=0
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- Solve: x^2+x/sqrt2+1=0
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- Find the modulus and argument of the complex numbers: (i) (1+i)/(1-i...
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- Find real theta such that (3+2 i sin theta)/(1-2 i sin theta) is purel...
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- Consider the complex number (i-1)/(cosfrac(pi)(3)+isinfrac(pi)(3) ...
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- Evaluate [i^18+(1/i)^25]^3
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- For any two complex numbers z1 and z2 prove that Re(z1z2) = Re(z1)Re(...
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- Reduce (1/(1-4i) - 2/(1+i)) ((3-4i)/(5+i)) to the standard form
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- If x-iy=sqrt((a-ib)/(c-id), prove that (x^2+y^2)^2 = (a^2+b^2)/(c^2+d^...
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- Convert the following in to the polar form (1+7i)/(2-i)^2
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- Solve the following equations 3x^2-4x+20/3=0
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- Solve the following equations x^2-2x+3/2=0
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- Solve 27 x^(2)-10 x+1=0
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- Solve the equation 21x^2-28x+10=0
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- If (z)(1)=2-i, (z)(2)=1+i, find |((z)(1)+(z)(2)+1)/((z)(1)-(z)(2)+1)|
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- If a+ib=(x+i)^2/(2x^2+1), prove that a^2+b^2=(x^2+1)^2/(2x^2+1)^2
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- Let z1=2-i, z2=-2+i. Find Re((z1z2)/overlinez1)
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