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JEE Math Practice Question

Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation $$\cos ^{-1}(x)-2 \sin ^{-1}(x)=\cos ^{-1}(2 x)$$ is equal to :

  1. A.0
  2. B.1
  3. C.$$\frac{1}{2}$$
  4. D.$$-\frac{1}{2}$$

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