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Matrices and Determinants question

2016 · 9 Apr · Shift 1 · Q25
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Matrices and Determinants question

2016 · 9 Apr · Shift 1 · Q25

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
The number of distinct real roots of the equation, ∣cos⁡xsin⁡xsin⁡xsin⁡xcos⁡xsin⁡xsin⁡xsin⁡xcos⁡x∣=0\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​cosxsinxsinx​sinxcosxsinx​sinxsinxcosx​​=0 in the interval [−π4,π4]\left[ { - {\pi \over 4},{\pi \over 4}} \right][−4π​,4π​] is :
  1. A
    4
  2. B
    3
  3. C
    2
  4. D
    1
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