Assertion (A): If , are the roots of the equation 6( ^ -1 x)^2 - ^ -1 x - ^2 = 0 , then +…
Mathematics · Class 12 · CBSE — Inverse Trigonometric Functions
Assertion (A): If \(\alpha, \beta\) are the roots of the equation \(6(\sin^{-1} x)^2 - \pi \sin^{-1} x - \pi^2 = 0\), then \(\alpha + \beta = \frac{2 - \sqrt{3}}{2}\).
Reason (R): \(\sin^{-1}(\sin\theta) = \theta\) if \(\theta \in \mathbb{R}\).
- Both (A) and (R) are true and (R) is the correct explanation of (A).
- Both (A) and (R) are true but (R) is not the correct explanation of (A).
- (A) is true but (R) is false.
- (A) is false but (R) is true.
Answer
(C) (A) is true but (R) is false.
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