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Convert the complex number z=(i-1)/(cos(...

Convert the complex number `z=(i-1)/(cos(pi/3)+isin(pi/3))` in the polar form.

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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. Convert the complex number (-16)/(1+isqrt3) into polar form.

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  2. Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...

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  3. Convert the complex number z=(i-1)/(cos(pi/3)+isin(pi/3)) in the polar...

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  4. {1+(-i)^(4n+3)}(1-i), (ninN) equals

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  5. If z1,z2 are conjugate complex numbers and z3,z4 are also conjugate, t...

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  6. If z=(1+i)(1+sqrt 3i)^2/(1-i), then argz equal

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  7. The equation z^3=barz has

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  8. In the argand plane ABCD is a square described in the anticlockwise se...

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  9. (-64)^(1/4) equals

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  10. If omega is an imaginary cube root of unity then the value of omega^n+...

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  11. Solve: z^7-1=0

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  12. Located the complex numbers z=x+iy for which: log(1/2)((abs(z-1)+4)/(3...

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  13. Ifz1,z2,z3 represent three vertices of an equilateral triangle in arga...

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  14. Express the following expreeion in the form of a+ib : ((3+isqrt5)(3-is...

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  15. If z1=2-i, z2=1+i, find abs((z1+z2+1)/(z1-z2+i))

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  16. Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-2...

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  17. If alpha and beta are different complex numbers with absbeta=1. then f...

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  18. 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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  19. If iz^3+z^2-z+i=0 then the value of abs(z) is

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  20. If z1nez2 and abs(z2)=1 the abs((z1-z2)/(1-barz1z2))=

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