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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 the equation whose roots are `alpha^(2), beta^(2)` is

A

`x^(2) + 2x + 1= 0`

B

`x^(2) - 2x + 1= 0`

C

`x^(2) + x + 1= 0`

D

`x^(2) -x + 1= 0`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
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  8. Let alpha and beta be the roots of the quadratic equation ax^(2) + bx ...

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

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

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  13. The equation formed by decreasing each root of ax^(2) + bx + c = 0 by ...

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

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  15. If alpha, beta are the roots of 2x^(2) + 5x + 2 = 0, then the equation...

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