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Let `z=x+i y` be a complex number where `xa n dy` are integers. Then, the area of the rectangle whose vertices are the roots of the equation `z z ^3+ z z^3=350` is 48 (b) 32 (c) 40 (d) 80

A

48

B

32

C

40

D

80

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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
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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+i y be a complex number where xa n dy are integers. Then, the ...

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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 maximum value of |Z| is equal to

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

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  7. Let omega be the complex number cos((2pi)/3)+isin((2pi)/3). Then the...

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  8. If alpha and beta are the roots of the equation x^(2)-x+1=0, alpha^(20...

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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)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}...

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

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  13. Let omega= e^((ipi)/3) and a, b, c, x, y, z be non-zero complex numb...

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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(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

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

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

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  18. If z is a complex number of unit modulus and argument theta, then arg(...

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

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  20. Let w = (sqrt 3 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Further ...

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