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Inverse Trigonometric Functions question

2021 · 17 Mar · Shift 2 · Q25
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  5. /2021 · 17 Mar · Shift 2 · Q25

Inverse Trigonometric Functions question

2021 · 17 Mar · Shift 2 · Q25

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
The number of solutions of the equation sin⁡−1[x2+13]+cos⁡−1[x2−23]=x2{\sin ^{ - 1}}\left[ {{x^2} + {1 \over 3}} \right] + {\cos ^{ - 1}}\left[ {{x^2} - {2 \over 3}} \right] = {x^2}sin−1[x2+31​]+cos−1[x2−32​]=x2, for x ∈\in∈[−-− 1, 1], and [x] denotes the greatest integer less than or equal to x, is :
  1. A
    0
  2. B
    Infinite
  3. C
    2
  4. D
    4
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