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The set of values of k for which the equation `sin^(-1)x+cos^(-1)x +pi(|x|-2)=k pi` possesses real solution is [a,b] then the value of a + b is |
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Answer» Correct Answer - B `sin^(-1)x + cos(-1)x + pi(|x|-2)= k pi, x in [-1,1]` `rArr (pi)/(2)+pi(|x|-2)= k pi` `rArr (1)/(2)+|x|-2=k` `rArr |x|=k + (3)/(2) in [0,1]` `rArr 0 le k + (3)/(2) le 1` `rArr -(3)/(2)le k le -(1)/(2)` |
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