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Let z = x + iy be a complex number wher...

Let `z = x + iy` be a complex number where x and y are integers. Then ther area of the rectangle whose vertices are the roots of the equaiton `barz z^(3) + zbarz^(3) = 350`.

A

48

B

32

C

40

D

80

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A
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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

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  2. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

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  3. Let z = x + iy be a complex number where x and y are integers. Then...

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  4. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

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  5. If |z-4/z|=2 then the greatest value of |z| is:

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  6. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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  7. Find the value of 2^4

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  8. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

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  9. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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  10. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  11. The set {R e((2i z)/(1-z^2)): z is a complex number,|z|=1,z=+-1} is.

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  12. The maximum value of |ar g(1/(1-z))| for |z|=1 ,z!=1 is given by

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  13. Find the value of 3^4

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  14. Let alpha and beta be real numbers and z be a complex number. If z^(2...

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  15. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

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  16. Let z be a complex number such that the imaginary part of z is nonz...

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  17. If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...

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  18. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

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  19. What is 3% Equals to

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  20. Express in the form of complex number if z=i^(-39)

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