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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- If x^(2)-x+1=0 then the value of sum(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) ...
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- The conjugate of the complex number (1 + i)^(2)/(1-i) is
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- The real and imaginary part of log (e)(1+sqrt(3) i) are
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- The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is
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- Let z and w be two non-zero complex numbers such that |z|=|w| and arg....
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- The locus of the centre of a circle which touches the circles |z-z(1)|...
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- Let z(1) and z(2) be two roots of the equation z^(2)+az+b=0, z being c...
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- If z and w are two non-zero complex numbers such that |zw|=1 and arg(z...
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- 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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