AP EAMCET · Maths · Straight Lines
The combined equation of the lines passing through the point \((3,4)\) and each making an angle \(45^{\circ}\) with the line \(x+y+1=0\) is
- A \(x y-4 x-3 y+12=0\)
- B \((3 \mathrm{x}-2 \mathrm{y}-1)(\mathrm{x}-2 \mathrm{y}+2)=0\)
- C \((3 x+2 y-17)(x+2 y-11)=0\)
- D \(x y-4 x+3 y+12=0\)
Answer & Solution
Correct Answer
(A) \(x y-4 x-3 y+12=0\)
Step-by-step Solution
Detailed explanation
All the lines passing from pt \((3,4)\) is \((y-4)\) \(=m(x-3)\) where \(m=\) slope Slope of given line \(x+y+1=0\) is \(\frac{3 \pi}{4}\) Hence \(m_1=\frac{3 \pi}{4}+\frac{\pi}{4}=\pi\) and \(m_2=\frac{3 \pi}{4}-\frac{\pi}{4}=\frac{\pi}{2}\) will be the slopes of lines which…
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