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If `alpha, beta (alpha lt beta)` are the roots of the equation `6x^(2) + 11x + 3 = 0`, then which of the following are real ?A. `cos^(-1) alpha`B. `sin^(-1) beta`C. `cosec^(-1) alpha`D. Both `cot^(-1) alpha and cot^(-1) beta` |
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Answer» Correct Answer - B::C::D `6x^(2) + 11x + 3 = 0` or `(2x + 3) (3x + 1) = 0` or `x = -3//2, -1//3` For `x = -3//2, cos^(-1) x` is not defined as domain of `cos^(-1) x` is `9-1, 1] and " for " x = -1//3, cosec^(-1) x` is not defined as domain of `cosec^(-1)x " is " R -(-1, 1)`. However, `cot^(-1) x` is defined for both of these values as domain of `cot^(-1) x " is " R` |
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