InterviewSolution
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InterviewSolution
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Number of values of `p`for which equation `sin^3x+1+p^3-3psinx=0(p >)`has a root is ________ |
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Answer» Correct Answer - 1 `sin^(3) x+p^(3)+1=3p sin x` `rArr (sin x p+1) (sin^(2) x+1+p^(2)-sin x-p-p sin x)=0` therefore, either `sin x+p+1=0rArr p rArr p=-(1+sin x)` or `sin x =1=p` Hence, only value of `p(p gt 0)` is possible which is given by `p=1`. |
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