TS EAMCET · Maths · Pair of Lines
Area of the triangle formed by the lines \(3 x^2-4 x y+y^2=0,2 x-y=6\) is
- A 16 sq units
- B 25 sq units
- C 36 sq units
- D 49 sq units
Answer & Solution
Correct Answer
(C) 36 sq units
Step-by-step Solution
Detailed explanation
Given lines are \[ \begin{aligned} & 3 x^2-4 x y+y^2=0 \\ & \Rightarrow 3 x^2-3 x y-x y+y^2=0 \\ &(3 x-y)(x-y)=0 \\ & \Rightarrow 3 x-y=0, x-y=0 \\ & \text { and } 2 x-y=6 \end{aligned} \] The point of intersection of these lines are \((0,0),(-6,-18)\) and \((6,6)\).…
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