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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
- If z1,z2 and z3,z4 are two pairs of conjugate complex numbers then arg...
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- If |z(1)|=|z(2)| and arg (z(1))+"arg"(z(2))=0, then
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- If one vertex of a square whose diagonals intersect at the origin is 3...
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- The value of z satisfying the equation logz+logz^(2)+……..+logz^(n)=0...
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- If |z(1)|=|z(2)|=………….=|z-(n)|=1, then the value of |z(1)+z(2)+………+z(n...
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- If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...
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- If omega is the complex cube root of unity then |[1,1+i+omega^2,omeg...
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- Let z and omega be two non-zero complex numbers, such that |z|=|omega|...
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- If z ne 0 be a complex number and "arg"(z)=pi//4, then
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- (1+i)^8+(1-i)^8=?
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- What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n...
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- If alphaand betaare different complex numbers with |beta|=1,then fin...
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- For any complex number z, the minimum value of |z|+|z-1|
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- If (3pi)/(2) gt alpha gt 2 pi, find the modulus and argument of (1 -...
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- If the roots of (z-1)^n=i(z+1)^n are plotted in ten Argand plane, then...
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- Area of the triangle formed by 3 complex numbers, 1+i,i-1,2i, in the A...
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- If omega is a complex cube root of unity, then (1-omega+omega^(2))^(6...
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- The locus represented by the equation |z-1| = |z-i| is
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- If z=i log(23,t h e ncosz= -1 b. -1//2 c. 1 d. 1//2
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- If alpha=cos alpha+i sin alpha, b=cos beta+isin beta,c=cos gamma+i sin...
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