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
Lines from \(2 x^2+x y-6 y^2=0\): \((2x-3y)(x+2y)=0\) \(L_1: 2x-3y=0 \Rightarrow m_1=\frac{2}{3}\) \(L_2: x+2y=0 \Rightarrow m_2=-\frac{1}{2}\) Third line \(L_3: x+y-1=0 \Rightarrow m_3=-1\) Angle between \(L_1\) and \(L_2\):…
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