Categories > pair-st-lines > Angle between the pair of straight lines > If the angle between the pair of straight lines represented by the equation ${{x}^{2}}-3xy+\lambda {{y}^{2}}+3x-5y+2=0$ is ${{\tan }^{-1}}\left( \frac{1}{3} \right)$, where $'\lambda \,'$is a non negative real number. Then$\lambda $is

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Question: If the angle between the pair of straight lines represented by the equation ${{x}^{2}}-3xy+\lambda {{y}^{2}}+3x-5y+2=0$ is ${{\tan }^{-1}}\left( \frac{1}{3} \right)$, where $'\lambda \,'$is a non negative real number. Then$\lambda $is


1) 2
2) 0
3) 3
4) 1
Solution: Explanation: No Explanation
Angle between the pair of straight lines Condition for parallel and perpendicular lines

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