InterviewSolution
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InterviewSolution
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If `2tan^(-1)x+sin^(-1)((2x)/(1+x^2) )` is independent of x then :A. `x gt 1`B. `x lt -1`C. `0 lt x lt 1`D. `-1 lt x lt 0` |
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Answer» Correct Answer - A::B We know that if `|x| le 1, " then " 2 tan^(-1) x = sin^(-1) ((2x)/(1 + x^(2)))` if `x gt 1, " then " 2 tan^(-1) x = pi - sin^(-1) ((2x)/(1 + x^(2)))` if `x lt -1, " then " 2 tan^(-1) x = - pi - sin^(-1) ((2x)/(1 + x^(2)))` Hence, the required values are `x lt -1 " or " x gt 1` |
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