If $$\cot \theta = 4{\text{,}}$$   then the value of $$\frac{{5\sin \theta + 3\cos \theta }}{{5\sin \theta - 3\cos \theta }}$$   is?

A. $$ - \frac{{17}}{7}$$

B. $$\frac{1}{3}$$

C. 3

D. 9

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & \cot \theta = 4 \cr & \therefore \frac{{5\sin \theta + 3\cos \theta }}{{5\sin \theta - 3\cos \theta }} \cr & = \frac{{5 + 3\cot \theta }}{{5 - 3\cot \theta }} \cr & = \frac{{5 + 3 \times 4}}{{5 - 3 \times 4}} \cr & = - \frac{{17}}{7} \cr} $$