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If ` alpha and beta ` are the roots of the equation `x^2-2x+4=0,` then `alpha ^9 + beta ^9=`

A

`-2^8`

B

` 2^9`

C

`-2^10`

D

`2^10`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF alpha , beta are real and alpha ^2 , - beta ^2 are the ro...

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  2. If alpha , beta are the roots of x^2-2x + 4 =-0 then alpha ^5...

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  3. If alpha and beta are the roots of the equation x^2-2x+4=0...

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  4. Let alpha and beta be the roots of equation px^2 +qx+r =0 , p n...

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  5. IF alpha , beta be the roots of 6x^2-6x +1=0 then (1)/(2) (a + b...

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  6. If alpha , beta are the roots of x^2-p(x+1)+c=0 then (1+alpha )( ...

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  7. IF alpha , beta are the roots of x^2-p(x+1)-c=0 then (alpha ^2...

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  8. IF alpha ,beta are the roots of ax^2 + bx + c=0 and s(n) = a...

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  9. Let alpha and beta be the roots of equation x^2-6x -2=0. If a...

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  10. IF alpha , beta are the roots of the equation ax ^2 + bx +c=0 , ...

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  11. IF the roots of the quadratic equation x^2 +px+q=0 are tan 30...

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  12. IF tan A , tan B are the roots of x ^2 -px+q=0 , the value of ...

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  13. If alpha , beta are the roots of x^2+ax -b=0 and gamma , sig...

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  14. If alpha , beta are the roots of x^2 +px -q=0 and gamma , de...

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  15. If alpha , beta are the roots of x^2 + px +1=0 and gamma , d...

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  16. If alpha , beta are the roots of ax ^2+2bx +c=0 and alpha + si...

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  17. alpha , beta are the roots of ax ^2+bx +c=0 and gamma , sigma...

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  18. The ratio of the roots of the equation ax ^2 + bx +c=0 is same ...

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  19. alpha , beta are the roots of ax ^2+bx +c=0 and gamma , sigma...

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  20. Let p and q be the roots of x^2 - 2x + A =0 and let r and s b...

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