BCECE Engineering BCECE Engineering Solved Paper-2012

  • question_answer
    The angle between the lines represented by the equation \[2{{x}^{2}}+3xy-5{{y}^{2}}=0\]is

    A) \[\frac{\pi }{3}\]                                              

    B)         \[\frac{\pi }{2}\]                             

    C)         \[{{\tan }^{-1}}\left| \frac{12}{5} \right|\]                          

    D)         \[{{\tan }^{-1}}\left| \frac{7}{3} \right|\]

    Correct Answer: D

    Solution :

    Here, \[a=2,h=\frac{3}{2},b=-5\] \[\therefore \]  \[\tan \theta =\left| \frac{2\sqrt{{{\left( \frac{3}{2} \right)}^{2}}+10}}{2-5} \right|=\left| \frac{\sqrt{49}}{-3} \right|\] \[\Rightarrow \]               \[\theta ={{\tan }^{-1}}\left| \frac{7}{3} \right|\]


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