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

If `alpha, beta` are the roots of `x^(2) - x + 1 = 0` then the quadratic equation whose roots are `alpha^(2015), beta^(2015)` is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
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  2. IF alpha , beta are the roots of the equation ax^2+ bx +c=0the...

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

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  4. the equation formed by decreasing each root of ax ^2 +bx+C=0 by...

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

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  6. If alpha, beta are the roots of x^(2)+6x+9=0, then the equation whose ...

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  7. The equation whose roots are 'K' times the roots of the equation ax^(2...

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  8. If alpha, beta be the roots of the equation ax^(2)+bx+c=0, then the ro...

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

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  10. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

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  11. If one root of x^(2)+kx+27=0 may be triple the other, then k=

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  12. If one root of x^2+px+1=0 is square that of the other thenp=

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  13. If one root of x^(2)+px+q=0 may be the square pf the other, then p^(3)...

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  14. The quadratic equation with rational coefficients whose one root is 3+...

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  16. The quadratic equation whose one root is (-3+I sqrt7)/(4) is

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  17. If the roots of x^(2)-2(7+3m)x+55m+45=0, are equal, then m =

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  18. The roots of the equation x^(2)-2sqrt3 x+3=0 are

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  19. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

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  20. If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal bu...

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