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JEE Math Practice Question

The number of real roots of the equation $${\tan ^{ - 1}}\sqrt {x(x + 1)} + {\sin ^{ - 1}}\sqrt {{x^2} + x + 1} = {\pi \over 4}$$ is :

  1. A.1
  2. B.2
  3. C.4
  4. D.0

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