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The values of a for which the equation `sqrtasinx-2cosx=sqrt2+sqrt(2-a)` has solutions areA. `p gt 0`B. `p le 3`C. `1 le p le 2`D. `sqrt(5)-1 le p le 2` |
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Answer» Correct Answer - D We must have `0 le p le 2` Also `sqrt(2)+sqrt(2-p)le sqrt(p + 4)` `rArr 2sqrt(4-2p)le 2p` `rArr 4-2p le p^(2)` `rArr p^(2)+2p-4le 0` `rArr p in [sqrt(5)-1,2]` |
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