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PART - 2 CH - 9 Straight Lines — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSPART - 2 CH - 9 Straight Lines1 Mark
Question
Find the distance between parallel lines $2 x+3 y+4$ $=0$ and $2 x+3 y-2=0$.
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Answer

Distance between lines
\[
\begin{array}{l}
=\frac{\left|c_2-c_1\right|}{\sqrt{a^2+b^2}}=\frac{|-2-4|}{\sqrt{(2)^2+(3)^2}} \\
=\frac{6}{\sqrt{4+9}}=\frac{6}{\sqrt{13}} \text { units  }
\end{array}
\]

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