1.

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.            \[\frac{132}{5\sqrt{3}-12}\]
Answer» B.            \[\frac{132}{12\sqrt{3}-5}\]


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