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CENGAGE PUBLICATION-COMPLEX NUMBERS-ILLUSTRATION
- Evaluate : (i) i^(135) (ii) i^(-47) (iii) (-sqrt(-1))^(4n +3)...
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- Find the value of i^n+i^(n-1)+i^(n-2)+i^(n-3) for all n in Ndot
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- Find the value of 1+i^2+i^4+i^6+i^8
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- Evaluate : i^(124)
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- Evaluate : i^(-34)
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- Evaluate : i^(75)
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- Evaluate : i^(103)
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- Express each of the following in the standerd from a + ib (2+3i)...
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- Find the value of (1+ i)^(6) + (1-i)^(6)
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- If ((1+i)/(1-i))^m=1, then find the least positive integral value of m...
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- Prove that the triangle formed by the points 1,(1+i)/(sqrt(2)),and i a...
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- Find real q such that (3+2isintheta)/(1-2isintheta) is purely real.
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- If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of...
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- If z is a complex number such that |z - barz| +|z + barz| = 4 then fi...
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- If (x+i y)^5=p+i q , then prove that (y+i x)^5=q+i pdot
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- If z = x + iy lies in the third quadrant, then prove that (barz)/(z) ...
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- Let z = ((sqrt(3))/(2) + (i)/(2))^(5)+((sqrt(3))/(2)-(i)/(2))^(5). If ...
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- Find the relation if z1, z2, z3, z4 are the affixes of the vertices of...
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- Let z1, z2, z3 be three complex numbers and a ,b ,c be real numbers no...
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- Find real values of x and y for which the complex numbers -3+i x^2y an...
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