Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The position of the points $(3,4)$ and $(2,-6)$ with respect to the line $3 x-4 y=8$ are
MathematicsStraight LinesJEE Main
Options:
  • A On the same side of the line
  • B On different side of the line
  • C One point on the line and the other outside the line
  • D Both point on the line
Solution:
1597 Upvotes Verified Answer
The correct answer is: On different side of the line
$\begin{aligned}
& L \equiv 3 x-4 y-8=0 \\
& L_{(3,4)}=9-16-8 \lt 0 \text { and } L_{(2,-6)}=6+24-8\gt0
\end{aligned}$
Hence, the points lie on different side of the line.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.