For $\theta \in\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$ if $2 \cos \theta+\sin \theta=1$, and $7 \cos \theta+6 \sin \theta=\mathrm{k}$, then the possible values of k are

• A

  $8,-2$
• Correct answer
  B

  6,2
• C

  12,4
• D

  7,6

Hence, the correct answer is option: 'B'.