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Matrices and Determinants question

2022 · 25 Jul · Shift 1 · Q24
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Matrices and Determinants question

2022 · 25 Jul · Shift 1 · Q24

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
The number of θ∈(0,4π)\theta \in(0,4 \pi)θ∈(0,4π) for which the system of linear equations 3(sin⁡3θ)x−y+z=23(cos⁡2θ)x+4y+3z=36x+7y+7z=9\begin{aligned} &3(\sin 3 \theta) x-y+z=2 \\\\ &3(\cos 2 \theta) x+4 y+3 z=3 \\\\ &6 x+7 y+7 z=9 \end{aligned}​3(sin3θ)x−y+z=23(cos2θ)x+4y+3z=36x+7y+7z=9​ has no solution, is :
  1. A
    6
  2. B
    7
  3. C
    8
  4. D
    9
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