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Question: Answered & Verified by Expert
If a straight line passing through the point $\mathrm{P}(3,4)$ makes an angle $\frac{\pi}{6}$ with the $\mathrm{X}$-axis and meets the line $12 x+5 y+10=0$ at $\mathrm{Q}$, then the length of $\mathrm{PQ}$ is
MathematicsStraight LinesAP EAMCETAP EAMCET 2017 (24 Apr Shift 1)
Options:
  • A $\frac{132}{12 \sqrt{3}+5}$
  • B $\frac{166}{8 \sqrt{3}+6}$
  • C $\frac{182}{6 \sqrt{3}+4}$
  • D $\frac{192}{14 \sqrt{3}+6}$
Solution:
1323 Upvotes Verified Answer
The correct answer is: $\frac{132}{12 \sqrt{3}+5}$
No solution. Refer to answer key.

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