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If for all real x (x+a)/(x^2+b x+c^2) c...

If for all real x `(x+a)/(x^2+b x+c^2)` cannot lie between two limits, then:

A

`b^(2) gt 4c^(2) and a^(2) + c^(2) ge ab `

B

`b^(2) gt 4c^(2) and a^(2) + c^(2) le ab `

C

`b^(2) lt 4c^(2) and a^(2) + c^(2) ge ab `

D

`b^(2) lt 4c^(2) and a^(2) + c^(2) le ab`

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The correct Answer is:
B
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