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V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
- 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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- Find the modulus and argument of the complex number (1+2i)/(1-3i)
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- Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of - 6 ...
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- Find the modulus of (1+i)/(1-i) - (1-i)/(1+i)
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- If (x+iy)^3 = u + iv, then show that u/x+v/y=4(x^2-y^2)
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- If alpha and beta are different complex numbers with absbeta = 1, then...
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- Find the number of non zero integral solutions of the equation abs(1-i...
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- If (a+ib) (c+id) (e+if) (g+ih) = A+iB, then show that (a^2+b^2) (c^2+d...
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- If ((1+i)/(1-i))^m = 1 then find the least integral value of m
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- Show that a real value of 'x' will satisfy the equation (1- ix )/(1+i...
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- Find the modulus of the following complex numbers i) 1+i tan alpha i...
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