AP EAMCET · Maths · Straight Lines
The equation of lines passing through \((5,3)\) and perpendicular to \(2 x+y-7=0\) is
- A \(2 y-x-2=0\)
- B \(2 y-x+2=0\)
- C \(x+y-8=0\)
- D \(2 y-x-1=0\)
Answer & Solution
Correct Answer
(D) \(2 y-x-1=0\)
Step-by-step Solution
Detailed explanation
\(2 x+y+7=0 \Rightarrow P=(5,3)\) 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.
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