Number of θ ∈ (0, 4π) for.... | JEE Main 2022 | Determinants

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JEE MAIN 2022

25-07-22 S1

Question

The number of $\theta \in(0,4 \pi)$ for which the system of linear equations
$\begin{aligned} & 3(\sin 3 \theta) x-y+z=2 \\ & 3(\cos 2 \theta) x+4 y+3 z=3 \\ & 6 x+7 y+7 z=9\end{aligned}$
has no solution is:

Select the correct option:

A

6

B

7

C

8

D

9

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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