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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- {1+(-i)^(4n+3)}(1-i), (ninN) equals
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- If z1,z2 are conjugate complex numbers and z3,z4 are also conjugate, t...
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- If z=(1+i)(1+sqrt 3i)^2/(1-i), then argz equal
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- The equation z^3=barz has
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- In the argand plane ABCD is a square described in the anticlockwise se...
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- (-64)^(1/4) equals
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- If omega is an imaginary cube root of unity then the value of omega^n+...
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- Solve: z^7-1=0
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- 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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