The equation of lines passing through \((5,3)\) and perpendicular to \(2 x+y-7=0\) is
The equation of lines passing through \((5,3)\) and perpendicular to \(2 x+y-7=0\) is
- \(2 y-x-2=0\)
- \(2 y-x+2=0\)
- \(x+y-8=0\)
- \(2 y-x-1=0\)
Solution
\(2 x+y+7=0 \Rightarrow P=(5,3)\)
Required line is \(b\left(x-x_1\right)-a\left(y-y_1\right)=0\)
\(\begin{aligned}
1(x-5)-2(y-3) & =0 \\
x-5-2 y+6 & =0 \\
x-2 y+1 & =0 \\
\Rightarrow 2 y-x-1 & =0
\end{aligned}\)
Hence, option (d) is correct.
Asked in: AP EAMCET 2020 (18 Sep Shift 2)
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