InterviewSolution
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InterviewSolution
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If `f(x)=ax^(2)+bx+c` and `f(-1) ge -4`, `f(1) le 0` and `f(3) ge 5`, then the least value of `a` isA. `1//4`B. `1//8`C. `1//3`D. `-1//3` |
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Answer» Correct Answer - B `(b)` `f(-1) ge -4` `implies a-b+c ge -4`………`(i)` `f(1) le 0` `implies a+b+c le 0` `implies -a-b-c ge 0`………`(ii)` `f(3) ge 5` and `9a+3b+c ge 5`……….`(iii)` From `(i)+(ii) implies -2b ge -4`…….`(iv)` From `(ii)+(iii)+(iv) implies 8a ge 1 implies age 1//8` |
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