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The solution set of the equation`sin^(-1)sqrt(1-x^2)+cos^(-1)x=cot^(-1)(sqrt(1-x^2))/x-sin^(-1)x`is`[-1,1]-{0}`(b) `(0,1)uu{-1}``(-1,0)uu{1}`(d) `[-1,1]`A. `[-1, 1] -{0}`B. `(0, 1] uu {-1}`C. `[-1, 0) uu {1}`D. `[-1, 1]` |
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Answer» Correct Answer - C `sin^(-1). sqrt(1 -x^(2)) + cos^(-1) x = cot^(-1). (sqrt(1-x^(2)))/(x) - sin^(-1)x` or `(pi)/(2) + sin^(-1). sqrt(1 -x^(2)) = cot^(-1). (sqrt(1-x^(2)))/(x)` `tan^(-1). (sqrt(1 -x^(2)))/(x) = - sin^(-1) sqrt(1 -x^(2))` `rArr x in [-1, 0) uu {1}` |
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