Q62 / 160 · TS EAMCET 2025 (02 May Shift 2) · Mathematics

If $5 \sin \theta+3 \cos \left(\theta+\frac{\pi}{3}\right)+3$ lies between $\alpha$ and $\beta$ (including $\alpha, \beta$ also), then $(\alpha-\beta)(\alpha+\beta-6)=$

  • A
    $28-5 \sqrt{3}$
  • Correct answer
    B
    $0$
  • C
    $3$
  • D
    $28+5 \sqrt{3}$

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

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