Statement I If are roots of

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Statement I If α,β\alpha, \beta are roots of 6x2+11x+3=06x^2 + 11x + 3 = 0 , then cos⁡−1α\cos^{-1} \alpha exists but not cos⁡−1β\cos^{-1} \beta ( α>β\alpha > \beta ). Statement II Domain of cos⁡−1x\cos^{-1} x is [−1,1][-1, 1] . (1) Both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I (2) Both Statement I and Statement II are correct but Statement II is not the correct explanation of Statement I. (3) Statement I is correct but Statement II is incorrect. (4) Statement II is correct but Statement I is incorrect.

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