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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- If alpha is an imaginary root of the equation z^(n)-1=0 then 1+alpha+...
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- If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...
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- tan [i log ((a-i b)/(a+i b))]=
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- If x^(2)+x+1=0 then sum(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=
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- The area of the triangle whose vertices are i, omega omega^(2)
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- The centre of the square A B C D is at the origin. The vertex A is z. ...
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- The value of sum(k=1)^(6)[" sin"(2Kpi)/(7)- i " cos"(2Kpi)/(7)] is
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- The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...
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- If z=(sqrt(3))/(2)-(1)/(2) i, then (i^(93)+z^(93))^(99)=
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- If (z-1)/(z+1) is purely imaginary, then |z|=
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- For any integer n, the argument of ((sqrt(3)+i)^(4 n+1))/((1-i sqrt(3)...
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- If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...
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- If z(1)=1+i sqrt(3) , z(2)=1-i sqrt(3), then (z(1)^(100)+z(2)^(100))/(...
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- If z(1)=1+i, z(2)=sqrt(3)+i, then arg ((z(1))/(z(2)))^(50)=
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- If 1,a(1), a(2). ..., a(n-1) are n roots of unity, then the value of (...
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- If z is such that |z-2 i|=2 sqrt(2), then arg ((z-2)/(z+2))=
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- If |z(1)-1|lt2,|z(2)-2|lt1, then |z(1)+z(2)|
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- If z(1) and z(2) are two non-zero complex numbers such that |z(1)+z(2)...
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- The number i^(i) is
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- The complex number z has argument, 0ltthetalt(pi)(2) and satisfy the e...
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