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AAKASH SERIES-DEMOIVRE'S THEOREM-PRACTICE EXERCISE
- 1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...
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- If 1,alpha,alpha^2,…...,alpha^(n-1) are the n^(th) roots of unity, the...
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- A : (1+i)^(6)+(1-i)^(6)=0 R : If n is a positive integer then (1+i)^...
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- Assertion (A): If A, B, C are the angles of a triangle such that cos A...
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- IF omega represents a complex cube root of unity, then (1+1/omega)(1+1...
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- Assertion (A) : If alpha=cos((2pi)/(7))+isin((2pi)/(7)),p=alpha+alpha^...
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- If z=(sqrt3-i)/(2) then (i^(101)+z^(101))^(103)=
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- The roots of (z-1)^n=i(z+1)^n are plotted on the argand plane they are
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- If 'alpha' be the non-real n^(th) roots of unity, then 1+3alpha+5alpha...
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- If cos alpha+2cos beta+3cos gamma=sinalpha+2sinbeta+3singamma=0 then s...
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- If sin(A+iB)=x+iy then ((x^2)/(sin^2A)-(y^2)/(cos^2A))+((x^2)/(cosh^2B...
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- I : sum(k=1)^(6)[sin((2kpi)/(7))-icos((2kpi)/(7))]=i II : sum(r=1)...
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- Match the following. {:(Column-I," "Column-II),(I" : "x=costheta...
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- The ascending order of the values of z1(1+i)^4+(1-i)^4, z2=(sq...
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- I : Value of i^i=e^(-pi/2) II : z=ilog(2+sqrt3) then sinz=2 wh...
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- Assertion (A) : (Costheta+iSintheta)^(10)+(Costheta-iSintheta)^(10)=2c...
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- The modulus argument form of 1+iTantheta when theta epsilon (pi/2,pi) ...
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- If Z=(i^i)^i" where "i=sqrt(-1) then
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- If alpha is a non-real and alpha=(1)^(1//5) then the value of 2^(|1+al...
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- If (x-1)^4-16=0,then the sum of non-real complex values of x is
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