The number of solutions of the equation ^ -1 [x^ 2 + 1 3 ]+ ^ -1 [x^ 2 - 2 3 ]=x^ 2 for x…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
The number of solutions of the equation
\(\sin ^{-1}\left[x^{2}+\frac{1}{3}\right]+\cos ^{-1}\left[x^{2}-\frac{2}{3}\right]=x^{2}\) for x∈ [–1, 1] and
[x] denotes the greatest integer less than or equal to x, is
\(\sin ^{-1}\left[x^{2}+\frac{1}{3}\right]+\cos ^{-1}\left[x^{2}-\frac{2}{3}\right]=x^{2}\) for x
[x] denotes the greatest integer less than or equal to x, is
- 2
- 0
- 4
- infinite
Answer
(B) 0
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