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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...
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- The product of the values of (cos ((pi)/(3))+i sin( (pi)/(3)))^(3 / 4)...
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- The inequality |z-4|lt|z-2| represents the region given by
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- If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(p...
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- If |z+4| le 3, then the maximum value of |z+1| is
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- The conjugate of a complex number is (1)/(i-1). Then the complex numbe...
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- If |z-(4)/(z)|=2 then the maximum value of |z| is
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- If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha...
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- The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals
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- If (omega ne 1) is a cube root of unity and (1+omega)^(7)=A+Bomega. Th...
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- If |z|=1 and z ne pm 1, then all the values of (z)/(1-z^(2)) lie on
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- Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on
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- Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then...
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- If |w|=1, then the set of points z=w+(1)/(w) is contained in or equal ...
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- i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms =
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- The value of sum(k=1)^(6)("sin"(2pik)/(7)-I"cos"(2pik)/(7)) is
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- If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...
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- If |z|ltsqrt(2)-1, then |z^(2)+2 z cos alpha| is less than
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- The area of the triangle on the complex plane formed by the complex nu...
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- If z=x+i y, z^(1 / 3)=a-i b and (x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then th...
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