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OMEGA PUBLICATION-COMPLEX NUMBER AND QUADRATIC EQUATIONS-IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE
- For any two complex numbers z1 and z2, prove that Re (z1 z2) = Re z1 R...
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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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- Change the complex number (1 + 7i)/((2 - i)^2) into polar form.
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- If z1 = 2 , z2 = 1 + i find |(z1 + z2 + 1)/(z1 - z2 + i)|
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- Let z1 = 2 -i, z2 = -2 + i. Find Re((z1z2)/barz1)
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- Find the real numbers x and v if (x -iy) (3 + 5i) is the conjugate of ...
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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 |beta| = 1, then ...
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- If ((1+i)/(1-i))^m=1, then find the least positive integral value of m...
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- Find the number of non-zero integral solutions of the equation |1- i|^...
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