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If an integer p is chosen at random in the interval `0le ple5,` then the probality that the roots of the equation `x^(2)+px+(p)/(4)+(1)/(2)=0` are real is -A. ` (4)/(5)`B. ` (2)/(3)`C. ` (3)/(5)`D. None of these |
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Answer» Correct Answer - B `DrArrP^(2)-((p)/(4)+(1)/(2))ge0` `(p-2)*(p+1)ge0` `pge-1"or" pge0` In `0leple5,` possible values of p are 2,3,4,5 Thus , probability `=(4)/(6)=(2)/(3)` |
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