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Matrices and Determinants question

2019 · 12 Apr · Shift 2 · Q33
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  5. /2019 · 12 Apr · Shift 2 · Q33

Matrices and Determinants question

2019 · 12 Apr · Shift 2 · Q33

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
A value of θ∈(0,π3)\theta \in \left( {0,{\pi \over 3}} \right)θ∈(0,3π​), for which ∣1+cos⁡2θsin⁡2θ4cos⁡6θcos⁡2θ1+sin⁡2θ4cos⁡6θcos⁡2θsin⁡2θ1+4cos⁡6θ∣=0\left| {\begin{matrix} {1 + {{\cos }^2}\theta } & {{{\sin }^2}\theta } & {4\cos 6\theta } \\ {{{\cos }^2}\theta } & {1 + {{\sin }^2}\theta } & {4\cos 6\theta } \\ {{{\cos }^2}\theta } & {{{\sin }^2}\theta } & {1 + 4\cos 6\theta } \\ \end{matrix} } \right| = 0​1+cos2θcos2θcos2θ​sin2θ1+sin2θsin2θ​4cos6θ4cos6θ1+4cos6θ​​=0, is :
  1. A
    π18{\pi \over {18}}18π​
  2. B
    π9{\pi \over {9}}9π​
  3. C
    7π24{{7\pi } \over {24}}247π​
  4. D
    7π36{{7\pi } \over {36}}367π​
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