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JEE Math Practice Question

The number of distinct real roots of the equation, $$\left| {\begin{matrix} {\cos x} & {\sin x} & {\sin x} \\ {\sin x} & {\cos x} & {\sin x} \\ {\sin x} & {\sin x} & {\cos x} \\ \end{matrix} } \right| = 0$$ in the interval $$\left[ { - {\pi \over 4},{\pi \over 4}} \right]$$ is :

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

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