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Maximum value of the expression ` (10x^(12))/(x^(24)+2x^(12)+3x^(16)+3x^(8)+1)`A. 1B. 2C. 10D. 5 |
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Answer» Correct Answer - A `f(x)=(10)/(x^(12)+2+3x^(4)+(3)/(x^(4))+(1)/(x^(12)))` `=(10)/((x^(4)+(1)/(x^(4)))^(3)+2)` As `x^(4)+(1)/(x^(4))ge2` `rArr(x^(4)+(1)/(x^(4)))^(3)+2ge10` `:. F(x) le(10)/(10)` |
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