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The number of distinct real roots of \left| \matrix \sin x & \cos x & \cos x \cr \cos x & \sin x & \cos x \cr \cos x & \cos x & \sin x \cr \right| = 0 in the interval - π \over 4 \le x \le π \over 4 is : | Watch the step-by-step video solution for this NIMCET PYQ.