AP EAMCET · Maths · Pair of Lines
The area of the triangle formed by the line \(x+y=4\) and angular bisectors of the pair of lines \(x^2-y^2+2 y-1=0\) is......... sq. units.
- A \(9\)
- B \(4.5\)
- C \(1.5\)
- D \(0.5\)
Answer & Solution
Correct Answer
(B) \(4.5\)
Step-by-step Solution
Detailed explanation
Given, pair of lines is \(x^2-y^2+2 y-1=0\) \(x^2=y^2-2 y+1\) \(\Rightarrow \quad x^2=(y-1)^2\) \(\begin{aligned} & \Rightarrow \quad(x+y-1)(x-y+1)=0 \\ & \Rightarrow \quad x+y-1=0 \text { or } x-y+1=0\end{aligned}\) \(l_1: x+y-1=0\) ...(i) \(l_2: x-y+1=0\) ...(ii) From the…
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