Basics of a straight line - class-X

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Question 1 of 35

If the straight line through the point $P(3,4)$ makes an angle $\cfrac{\pi}{6}$ with the x-axis and meets the line $3x+5y+1=0$ at $Q$, the length $PQ$ is

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$\dfrac {132}{12\sqrt {3}+5}$

$\dfrac {132}{12\sqrt {3}-5}$

$\dfrac {132}{5\sqrt {3}+12}$

$\dfrac {132}{5\sqrt {3}-12}$

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