WBJEE · Maths · Straight Lines
The equation \(2 x^{2}+5 x y-12 y^{2}=0\) represents a
- A circle
- B pair of non-perpendicular intersecting straight lines
- C pair of perpendicular straight lines
- D hyperbola
Answer & Solution
Correct Answer
(B) pair of non-perpendicular intersecting straight lines
Step-by-step Solution
Detailed explanation
Given equation is \[ \begin{array}{r} 2 x^{2}+5 x y-12 y^{2}=0 \\ \Rightarrow \quad 2 x^{2}+8 x y-3 x y-12 y^{2}=0 \\ \Rightarrow \quad 2 x(x+4 y)-3 y(x+4 y)=0 \\ \Rightarrow \quad(x+4 y)(2 x-3 y)=0 \\ \therefore \quad x+4 y=0 \text { and } 2 x-3 y=0 \end{array} \] which…
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