Mathematics · 2021
JEE Main · 17 March 2021, Shift 2 · Q61
The number of solutions of the equation sin^-1[x^2+1/3]+ cos^-1[x^2-2/3]=x^2, for x ∈[-1,1], and [x] denotes the greatest integer less than or equal…
The number of solutions of the equation $\displaystyle \sin ^{-1}\left[x^2+\frac{1}{3}\right]+\cos ^{-1}\left[x^2-\frac{2}{3}\right]=x^2$, for $\displaystyle x \in[-1,1]$, and $\displaystyle [x]$ denotes the greatest integer less than or equal to $\displaystyle x$, is :
Official answer
(1)
$\displaystyle 0$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.