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Question: Answered & Verified by Expert
A straight line through the origin $\mathrm{O}$ meets the parallel lines $4 \mathrm{x}+2 \mathrm{y}=9$ and $2 \mathrm{x}+\mathrm{y}+6=0$ at $\mathrm{P}$ and $\mathrm{Q}$ respectively. The point O divides the segment $\mathrm{PQ}$ in the ratio
MathematicsStraight LinesWBJEEWBJEE 2020
Options:
  • A $1: 2$
  • B $3: 4$
  • C $2: 1$
  • D $4: 3$
Solution:
2186 Upvotes Verified Answer
The correct answer is: $3: 4$
Hint :
$\Rightarrow \frac{\mathrm{OP}}{\mathrm{OQ}}=\frac{\mathrm{OM}}{\mathrm{ON}}=\Rightarrow \frac{9 / 2}{12 / 2}=\frac{3}{4}$

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