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Convert the complex number (-16)/(1+isqr...

Convert the complex number `(-16)/(1+isqrt3)` into polar form.

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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If 4x+i(3x-y)=3+i(-6), where x and y are real numbers, then find the v...

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  2. Find the multiplicative inverse of 2-3i.

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  3. Convert the complex number (-16)/(1+isqrt3) into polar form.

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

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

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  6. {1+(-i)^(4n+3)}(1-i), (ninN) equals

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

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

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  9. The equation z^3=barz has

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

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  11. (-64)^(1/4) equals

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

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  13. Solve: z^7-1=0

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

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

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

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

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

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

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  20. 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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