AP EAMCET · Maths · Pair of Lines
The equation of a line which makes an angle of \(45^{\circ}\) with each of the pair of lines \(x y-x-y+1=0\) is
- A \(x-y=5\)
- B \(2 x+y=3\)
- C \(x+7 y=8\)
- D \(3 x-y=2\)
Answer & Solution
Correct Answer
(A) \(x-y=5\)
Step-by-step Solution
Detailed explanation
Given pair of lines : \(x y-x-y+1=0\) \(\Rightarrow x(y-1)-1(y-1)=0 \Rightarrow(x-1)(y-1)=0\) lines are \(x-1=0\) and \(y-1=0\) Let required line be \(y=m x+\mathrm{c}\) Now, angle between \(y-1=0\) and \(y=m x+c\) is \(45^{\circ}\)…
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