Q64 / 160 · TS EAMCET 2025 (02 May Shift 2) · Mathematics

If $3 \sin (\alpha-\beta)=5 \cos (\alpha+\beta)$ and $\alpha+\beta \neq \frac{\pi}{2}$, then $\frac{\tan \left(\frac{\pi}{4}-\alpha\right)}{\tan \left(\frac{\pi}{4}-\beta\right)}=$

  • A
    $0$
  • B
    $-4$
  • Correct answer
    C
    $-\frac{1}{4}$
  • D
    $\frac{1}{2}$

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

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