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If alpha is a root of z^5 +z^3 +2+3=0, ...

If `alpha` is a root of `z^5 +z^3 +2+3=0`, then

A

`|alpha|ge 1`

B

`|alpha|lt 1`

C

`alpha` lies on or out side the unit circle

D

`alpha` lies inside the unit circle `|z|=1`

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The correct Answer is:
A
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FIITJEE-MATHEMATICS TIPS-ASSIGNMENT -OBJECTIVE
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  9. The minimum value of (x^4+y^4+z^2)/(x y z) for positive real numbers x...

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  10. z is a complex number such that z+1/z=2cos 3^0 ,then the value of z^(2...

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  11. Let the unit vectors vec a, vec b, vec c be the position vectors of t...

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  12. If A=[{:(1,1),(0,1):}] and B=[{:(sqrt(3)//2,1//2),(-1//2,sqrt(3)//2):}...

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  13. The quadratic x^2+a x=b+1=0 has roots which are positive integers, the...

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  14. If the planes x=cy+bz,y=az+cx and z=bx+ay pass through a line then a^(...

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  16. Let A, B, C be points with position vectors r(1)=2hati-hatj+hatk, r(2)...

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  17. The real numbers x, y satisfy x^(3)-3x^(2)+5x-17=0 and y^(3)-3y^(2)+5y...

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  18. x, y, z in R such that x^(2)+y^(2)+z^(2)=1 and alpha=x^(2)+2y^(2)+3z^(...

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  19. Let A, B, C be three events such that P (exactly one of A or (B) = P (...

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  20. If px^(4)+qx^(3)+rx^(2)+sx+t=|{:(x^(2)+3x,x-1,x+3),(x^(2)+1,2-x,x-3),(...

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