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Question: Answered & Verified by Expert
Which pair of points lie on the same side of $3 x-8 y-7=0$
MathematicsStraight LinesJEE Main
Options:
  • A $(0,-1)$ and $(0,0)$
  • B $(4,-3)$ and $(0,1)$
  • C $(-3,-4)$ and $(1,2)$
  • D $(-1,-1)$ and $(3,7)$
Solution:
2819 Upvotes Verified Answer
The correct answer is: $(-1,-1)$ and $(3,7)$
$\begin{aligned}
& L_{(-1,-1)}=3(-1)-8(-1)-7 \lt 0 \\
& L_{(3,7)}=3 \times 3-8 \times 7-7 \lt 0
\end{aligned}$
Hence $(-1,-1)$ and $(3,7)$ lie on the same side of line.

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