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Matrices and Determinants question

2021 · 25 Jul · Shift 2 · Q33
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Matrices and Determinants question

2021 · 25 Jul · Shift 2 · Q33

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
The number of distinct real roots of ∣sin⁡xcos⁡xcos⁡xcos⁡xsin⁡xcos⁡xcos⁡xcos⁡xsin⁡x∣=0\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​sinxcosxcosx​cosxsinxcosx​cosxcosxsinx​​=0 in the interval −π4≤x≤π4- {\pi \over 4} \le x \le {\pi \over 4}−4π​≤x≤4π​ is :
  1. A
    4
  2. B
    1
  3. C
    2
  4. D
    3
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