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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
- 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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- lf z1,z2,z3 are vertices of an equilateral triangle inscribed in the c...
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- The general value of theta which satisfies the equation (costheta+isin...
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- If z is a complex numbers such that z ne 0 and "Re"(z)=0, then
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- If z + z^(-1)= 1, then find the value of z^(100) + z^(-100).
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- Let A,B and C represent the complex number z1, z2, z3 respectively on ...
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- Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is
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- The number of solutions of the equation z^2+z=0 where z is a a complex...
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- The centre of a square is at the origin and one of the vertex is 1-i e...
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