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The maximum value of the expression (x^(...

The maximum value of the expression `(x^(2)+x+1)/(2x^(2)-x+1)`, for `x in R`, is

A

`(7+2sqrt7)/(7)`

B

`(7-2sqrt7)/(7)`

C

`(7)/(3)`

D

`(14+2sqrt7)/(7)`

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
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  2. the expression 2x ^2 + 4x +7 has minimum value m at x= alpha ...

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  3. The maximum value of the expression (x^(2)+x+1)/(2x^(2)-x+1), for x in...

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  4. A = The maximum value of 4x^(2) + 4x + 5 B = The maximum value of 8x...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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