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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- If omega be a cube root of unity and (1+omega^(2))^(n)=(1+omega^(4))^(...
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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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- The value of ((1+i sqrt(3))/(1-i sqrt(3)))^(6)+((1-i sqrt(3))/(1+i sqr...
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- If alpha+ibeta=tan^(-1)z, z=x+iy and alpha is constant, then locus of ...
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- The value of (i)^(i) is
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- In the Argand diagram all the complex numbers z satisfying |z-4 i|+|z+...
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- The equation |z+1-i|=|z-1+i| represents a
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- If z is any complex number satisfying |z-1|=1, then which of the follo...
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- If the amplitude of z-2-3 i is (pi)/(4), then the locus of z=x+i y is
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- If omega is a non real cube root of unity then (a+b)(a+b omega)(a+b om...
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- If sqrt(a+i b)=x+i y, then a possible value of sqrt(a-i b) is
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- If i^(2)=-1 then i+i^(2)+i^(3)+…..... . upto 1000 terms is equal to
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- If omega is a complex cube root of unity then the value of (p++q omega...
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- If alpha, beta and gamma are angles such that tan alpha+tan beta+tan g...
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- The polar form of the complex number (i^(25))^(3) is
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- For what value of x and y, the complex numbers. 9 y^(2)-4-10 x i and ...
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- The point represented by the complex number 2-i is rotated about origi...
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- The locus of the point z satisfying arg ((z-1)/(z+1))=k, (where k is n...
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- Let omega is an imaginary cube root of unity then the value of 2(1+o...
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- If z=(-2)/(1+sqrt(3) i), then the value of arg z is
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