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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- If ((1+i)/(1-i))^(x)=1, then x=
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- If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...
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- Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi. Then ...
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- If z=x-i y and z^(1 / 3)=p+i q then ((x)/(p)+(y)/(q)) div(p^(2)+q^(...
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- If |z^(2)-1|=|z|^(2)+1, then z lies on :
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- If the cube root of unity are 1,omega,omega^(2), then the roots of the...
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- If omega=(z)/(z-(i)(3)) and |omega|=1, the z lies on
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- If w=alpha+ibeta, where beta ne 0 and z ne 1, satisfies the condition ...
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- The value of sum(k=1) ^(10)( sin "" ( 2kpi )/( 11) + i cos "" ( 2kpi )...
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- If z^(2)+z+1=0 then sum(r=1)^(6)(z^(r)+(1)/(z^(r)))^(2)=
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- If |z+4| le 3, then the maximum value of |z+1| is
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- The values of x and y which satisfy the equation ((1+i) x-2 i)/(3+i)...
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- The complex plane of z=x+iy, which satisfies the equation |(z-5i)/(z+5...
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- If z=((sqrt(3))/(2)+(i)/(2))^(5)+((sqrt(3))/(2)-(i)/(2))^(5), then:
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- The points z(1),z(2),z(3),z(4) in complex plane are the vertices of a ...
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- If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the comple...
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- If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...
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- If z(1), z(2), z(3) are three complex numbers in A.P., then they lie o...
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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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- sin x+i cos 2 x and cos x-i sin 2 x are conjugate to each other for,
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