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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- Located the complex numbers z=x+iy for which: log(1/2)((abs(z-1)+4)/(3...
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- Ifz1,z2,z3 represent three vertices of an equilateral triangle in arga...
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- Express the following expreeion in the form of a+ib : ((3+isqrt5)(3-is...
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- If z1=2-i, z2=1+i, find abs((z1+z2+1)/(z1-z2+i))
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- Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-2...
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- If alpha and beta are different complex numbers with absbeta=1. then f...
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- If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that (a^2+b^2)(c^2+d^2)(e^...
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- If iz^3+z^2-z+i=0 then the value of abs(z) is
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- If z1nez2 and abs(z2)=1 the abs((z1-z2)/(1-barz1z2))=
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- If abs(z+barz)=abs(z-barz), then the locus of z is
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- If log(tan30^@)((2absz^2+2absz-3)/(absz+1))lt(-2), then
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- The number of solutions of the equation z^2+absz^2=0, where zinc is
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- Let z, omega be complex numbers such that barz+ibaromega=0 and arg(z o...
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- The number of roots of the equation z^15=1 satisfying abs(argz)ltpi/2 ...
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- If A(z1), B(z2), C(z3) are the vertices of an equilateral triangle ABC...
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- 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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