AP EAMCET · Maths · Pair of Lines
The triangle formed by the lines \(2 x^2+x y-6 y^2=0\) and \(x+y-1=0\) is
- A equilateral
- B isosceles
- C right angled
- D scalene
Answer & Solution
Correct Answer
(D) scalene
Step-by-step Solution
Detailed explanation
Factor \(2 x^2+x y-6 y^2=0\): \((2x-3y)(x+2y)=0\) Lines: \(L_1: 2x-3y=0\), \(L_2: x+2y=0\), \(L_3: x+y-1=0\) Vertex A (\(L_1 \cap L_2\)): \((0,0)\) Vertex B (\(L_1 \cap L_3\)): \(2x-3y=0, x+y-1=0 \Rightarrow B\left(\frac{3}{5}, \frac{2}{5}\right)\) Vertex C (\(L_2 \cap L_3\)):…
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