Assertion : for any triangle ABC sin ( A+B+C 3 ) A+ B+ C 3 Reason : y = sin x is concave…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Assertion : for any triangle ABC
sin \(\left(\frac{A+B+C}{3}\right) \geq \frac{\sin A+\sin B+\sin C}{3}\)
Reason : y = sin x is concave downward for x ∈ (0, π].
sin \(\left(\frac{A+B+C}{3}\right) \geq \frac{\sin A+\sin B+\sin C}{3}\)
Reason : y = sin x is concave downward for x ∈ (0, π].
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false.
- If Assertion is false, Reason is true.
Answer
(A) If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
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