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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- If 1, omega,omega^2 are the three cube roots of unity, then (1-omega+o...
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- If omega is the cube root of unity then cos[(omega^200+1/omega^200)pi+...
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- If omega is a complex cube root of unity and (1+omega)^7=A+Bomega then...
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- the area of the triangle formed by 1, omega, omega^2 where omega be th...
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- The value of i^100+i^101+i^102+i^103
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- If argzlt0, then arg(-z)-argz is equal to
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- If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, then ar...
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- The common roots of the equations z^3+2z^2+2z+1=0 and z^1985+z^100+1=0...
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- abs(z-6)ltabs(z-2) its solution is given by
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- If abs(z^2-1)=absz^2+1, then z lies on
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- If xr=cos(pi/2^r)+isin(pi/2^r) then x1x2x3.......infty=
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- The value of [(1+cos(pi/8)+isin(pi/8))/(1+cos(pi/8)-isin(pi/8))]^8 is
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- The area of the triangle in the complex plane formed by the points z, ...
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- The origin and the roots of the equation z^2+pz+q=0 form an equilatera...
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- If n is a positive integer, then, (1+isqrt3)^n+(1-isqrt3)^n=
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- If absz1=absz2=absz3=1 and z1+z2+z3=0, then z1, z2, z3 are vertices of
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- The locus of point z satisfying Re(1/z)=k, where k is a non-zero real ...
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- If P represents z=x+iy in the argand plane and abs(z+1-i)=abs(z+i-1) t...
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- If alpha/a+beta/b+gamma/c=1+i and a/alpha+b/beta+c/gamma=0, then the v...
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- The number of solution of the system of equations Re(z^2)=0, absz=2 is
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