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JEE Math Practice Question

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

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

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