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Let `theta in [0,4pi]`satisfy the equation `(sintheta+2)(sintheta+3)(sintheta+4)=6.`If the sum of all the values of `theta`is of the form `kpi`, then the value of `k`is6 (b)5 (c) 4(d) 2A. 6B. 5C. 4D. 2 |
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Answer» Correct Answer - B `(sin theta+2) (sin theta+3) (sin theta+4) =6` `L.H.S. ge 6` and `R.H.S. =6` Therefore, equality only holds if `sin theta=-1 or theta =3pi//2, 7 pi//2` `:.` Sum `=5pi =lt k=5` |
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