question_answer

If the straight line through the point P(3, 4)  makes an angle \[\frac{\pi }{6}\] with the x-axis and meets the line\[~12x+5y+10=0\] at Q, then the length PQ is

A)  \[\frac{132}{12\,\sqrt{3}+5}\]  

B)  \[\frac{132}{12\,\sqrt{3}-5}\]

C)  \[\frac{132}{5\,\sqrt{3}+12}\]              

D)  \[\frac{132}{5\sqrt{3}-12}\]

E)  None of these