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The equation of lowest degree with r...

The equation of lowest degree with rational coefficient having a root ` sqrt(3) + sqrt(2)` is

A

`x^4 -2x^2 +1=0`

B

`x^4 +10x^2 +1=0`

C

`x^4 -10x^2+1=0`

D

`x^4 +10x^2 -1=0`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-III
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  7. The condition for one root of x^3+ax^2+bx+c=0 is sum of the ot...

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  9. If the roots of the equation x^3 -9x^2 + 23x-15=0 are in A.P t...

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  10. If the roots of 24x^3 - 26 x^2 + 9x -1=0 are in H.P then the ...

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  11. If alpha , beta , gamma are the roots of x^3 -3ax^2 +3 bx -c=0...

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  12. If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=

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  13. If the roots of x^3 -14x^2 + 56x-64 =0 are in G.P then the mid...

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  14. If x^4 - 12x ^3 +52 x^2 - 96 x+64=0 have pairs of equal roots t...

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  15. If the roots of x^4 -2x^3 - 21x^2 + 22 x + 40 =0 are in A.P then...

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  16. If the roots of 27x^(4) - 195x^(3) + 494x^(2) - 520x + 192 = 0 are in...

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  17. The roots of x^3 - 13x^2 +39 x-27=0 are in

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  18. If x^3 -3x^2 + 4=0 has a multiple root then that multiple root i...

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  20. If alpha, beta, gamma are the roiots of x^(3) - 10x^(2) +6x - 8 = 0 t...

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