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the less interger a , for which `1+log _(5)(x^(2)+1)le log_(5) (ax^(2)+4x+a)` is true for all `x in ` R is -A. 6B. 7C. 10D. 1 |
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Answer» Correct Answer - B inequality `ax^(2)+ 4x + a gt0` is possible if a gt0 and `16- 4a^(2)lt 0implies alt 2` `log_(5)5 +log(x^(2)+1)lelog (ax^(2)+4x+a)` ` 5 (x^(2)+1) leax^(2)+4x+a` ` (a-5) x^(2)+4X +(a-5)gt 0` if hold if ` a-5gt 0` and `16-4 (a-5)^(2)ge0` ` agt 5 and a le 3 or , a ge 7 implies a le 7 a in [7,00)` |
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