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If alpha, beta are the roots of x^(2)+x+...

If `alpha, beta` are the roots of `x^(2)+x+1=0`, then `alpha^(-2)+beta^(-2)` is

A

`sqrt(-1)`

B

`-i sqrt3`

C

-1

D

`-i sqrt3`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. If the roots ax^(2)+bx+c=0 are (3)/(2),(4)/(3) then (a+b+c)^(2) =

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  2. If a, b are the roots of x^(2)+x+1=0, then a^(2)+b^(2) is

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

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  4. If alpha, beta are the roots of ax^(2)+bx+c=0, alpha beta=3 and a, b, ...

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  5. If alpha, beta are the roots of x^(2)+ax+12=0 such that alpha-beta=1, ...

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  6. The values of P for which the difference between the roots of the equa...

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  7. IF the different between the roots of x^(2) -px+q=0 is 2, then ...

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  8. If x-2 is a factor of x^(2)+6x+16b, then b =

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  9. If the sum of the roots of kx^(2) + 2x + 3k = 0 is equal to their prod...

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  10. If the sum of the roots of x^(2) + bx + 1 = 0, is equal to the sum of ...

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  11. IF alpha , beta are the roots of ax^2 + bx +c=0 then the equat...

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  12. If alpha, beta are the roots of x^(2)+x+1=0, then the equation whose r...

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  13. IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation ...

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  14. The equation whose roots are double the roots of the equation x^(2) + ...

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  15. The equation formed by increasing each roots of 2x^(2) - 3x - 1 = 0 by...

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  16. If one root of x^2+kx +12 =0 may be the triple the other , then...

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  17. Let alpha and beta be the roots of the quadratic equation ax^(2) + bx ...

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  18. If one root of the equation x^(2) + px + q = 0 is the square of the ot...

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  19. If alpha+beta=3 and a^(3)+beta^(3) = 7, then alpha and beta are the ro...

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  20. The equation whose roots are smaller by 1 then those of 2x ^2-5...

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