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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
- 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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- If 1, omega, omega^(2) are the three cube roots of unity and alpha, be...
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- The complex number (1+2i)/(1-i) lies in
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- If z ne 0 and Re z=0 then
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- If z ne 0 and arg z=(pi)/(4), then
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- If z(1)=8+4 i, z(2)=6+4 i and arg ((z-z(1))/(z-z(2)))=(pi)/(4) then z ...
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- For positive integers n(1) and n(2) the value of the expression (1+i...
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- If |{:(6i,-3i,1),(4,-3i,-1),(20,3,i):}|=x+iy, then :
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- The value of the sum sum(n=1) ^(13) (i^(n)+i^(n+1)), where i = sqrt( -...
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- If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(...
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- 4+5(-(1)/(2)+(i sqrt(3))/(2))^(334)+3(-(1)/(2)+(i sqrt(3))/(2))^(365)=
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- If z(1),z(2),z(3) are complex numbers such that : |z(1)|=|z(2)|=|z(3)|...
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- Let z(1) and z(2) be n^(th ) roots of unity which subtend a right angl...
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- Let omega=-(1)/(2)+i (sqrt(3))/(2), then the value of |[1,1,1],[1,-...
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- The complex numbers z(1), z(2), z(3) satisfying (z(1)-z(3))/(z(2)-z(3)...
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- For all complex numbers z(1), z(2) satisfying |z(1)|=12 and |z(2)-3-...
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- If z is a complex number such that |z|=1, z ne 1, then the real part o...
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- 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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