Assertion : ^ -1 [ ^ -1 x+ ^ -1 (1-x) ]= 2 has no non-zero integral solution. Reason …
Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions
Assertion : \(\sin ^{-1}\left[\tan \left\{\tan ^{-1} x+\tan ^{-1}(1-x)\right\}\right]=\frac{\pi}{2}\) has no non-zero integral solution.
Reason : The greatest and least values of
(sin–1 x)3 + (cos–1 x)3 are \(\frac{7 \pi^{3}}{8} \text { and } \frac{\pi^{3}}{32}\) respectively.
Reason : The greatest and least values of
(sin–1 x)3 + (cos–1 x)3 are \(\frac{7 \pi^{3}}{8} \text { and } \frac{\pi^{3}}{32}\) respectively.
- 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
(D) If Assertion is false, Reason is true.
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