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The range of (x^(2)-x+1)/(x^(2)+x+1) is...

The range of `(x^(2)-x+1)/(x^(2)+x+1)` is

A

`(-oo, (1)/(3))`

B

`(3. oo)`

C

`[(1)/(3), 3]`

D

[-1, 1]

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The correct Answer is:
C
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
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  2. A = The maximum value of 4x^(2) + 4x + 5 B = The maximum value of 8x...

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  3. The range of (x^(2)-x+1)/(x^(2)+x+1) is

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  4. Out of the two roots of x^(2)-2 lambda x + lambda^(2)-1= 0, one is gre...

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  5. Assertion (A): The roots of ax^(2) + bx + c = 0, where a != 0, b, c in...

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  6. If x in R, then the range of (x)/(x^(2)-5x + 9) is

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  7. If 4 lt x lt 8 then the value of 12x -x^(2) - 32 is

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  8. The greatest positive integral value of x for which 200 - x(10 + x) is...

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  9. The range of values of x which satisfy 2x^(2) + 9x + 4 lt 0 and x^(2) ...

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  10. If x^(2) + 6x-27 gt 0, -x^(2) + 3x + 4 lt 0, then x lies in the interv...

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  11. If 4x^(2) + kx + 3 ge 0 for all real values of x then k lies in the in...

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  12. The greatest negative integer satisfying x^(2) - 4x - 77 lt 0 and x^(2...

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  13. IF the inequation sqrt(3x -8) lt -2 then

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  14. The range of values of x for which the inequality (x-1)/(4x+5) lt (x-3...

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  15. If sqrt(2x - 4) le 2 - x, then the range of x is

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  16. The integer k for which the inequality x^(2) - 2 (4k - 1)x + 15k^(2) -...

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  17. If x^(2)- y^(2) + 4x-6y + k is resolvable into two linear factors, the...

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  18. If x^2 + 4y ^2 - 8x +12 =0 is satified by real values of x na...

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  19. The quadratic equation ax^(2) + bx + c = 0 has two roots then match th...

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  20. If a and b are the non-zero roots of the equation x^(2) + ax + b = 0, ...

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