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Let omega = - (1)/(2) + i (sqrt3)/(2), t...

Let `omega = - (1)/(2) + i (sqrt3)/(2)`, then the value of the determinant `|(1,1,1),(1,-1- omega^(2),omega^(2)),(1,omega^(2),omega^(4))|`, is

A

`3 omega`

B

`3 omega (omega - 1)`

C

`3 omega^(2)`

D

`3 omega (1-omega)`

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -EXERCISE LEVEL 1
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  3. Let omega = - (1)/(2) + i (sqrt3)/(2), then the value of the determina...

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  5. Show that if iz^3+z^2-z+i=0, then |z|=1

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  9. If omega is complex cube root of that 1/(a+omega)+1/(b+omega)+1/(c+ome...

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  10. if |z-iRe(z)|=|z-Im(z)| where i=sqrt(-1) then z lies on

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  11. If omega is a complex cube root of unity, then value of expression cos...

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  12. If roots of the equation z^2+ az + b = 0 are purely imaginary then

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  13. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

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  14. If 8iotaz^3+12z^2-18z+27iota=0 then: a. |z|=3/2 b. |z|=2/3 c. |z|=...

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  15. If a complex number z lies in the interior or on the boundary of a cir...

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  16. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

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  17. Suppose z(1), z(2), z(3) represent the vertices A, B and C respectivel...

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  18. Suppose that three points z(1), z(2), z(3) are connected by the relati...

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  19. If the number (z-1)/(z+1) is purely imaginary, then

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  20. If z s a complex number such that -pi/2 leq arg z leq pi/2, then which...

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