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If x^(2) + x + (1)/(x^(2)) + (1)/(x) lt ...

If `x^(2) + x + (1)/(x^(2)) + (1)/(x) lt 0`, then which of the following is true ?

A

`x + (1)/(x) gt -2`

B

`x + (1)/(x) lt -2`

C

`x + (1)/(x) lt 1`

D

Both (a) and (c)

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • If (1)/(2) lt |x| lt 1 , then which of the following is not defined ?

    A
    `sin^(-1)x`
    B
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    C
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    D
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  • If 1/2lt|x|lt1 then which of the following are real ?

    A
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    B
    `2-sqrt(3)` when `0ltx lt 1`
    C
    `2+sqrt(3)` when `0lt x lt 1`
    D
    `-(1)/sqrt(3)` when `x gt2`

  • If 0 lt x lt 5 and 1 lt y lt 2 , then which of the following is true ?

    A
    `x + y lt 0`
    B
    `-3 lt 2x - 3y lt 4`
    C
    `-6 lt 2x - 3y lt 7`
    D
    `-3 lt 3x - y lt 2`

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