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JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Angle between the pair of straight lines, Condition for parallel and perpendicular lines

  • question_answer
    The angle between the pair of lines \[2{{x}^{2}}+5xy+2{{y}^{2}}+3x+3y+1=0\] is                [EAMCET 1994]

    A)            \[{{\cos }^{-1}}\left( \frac{4}{5} \right)\]                     

    B)            \[{{\tan }^{-1}}\left( \frac{4}{5} \right)\]

    C)            0    

    D)            p/2

    Correct Answer: A

    Solution :

               Here \[a=2,\ b=2,\ h=\frac{5}{2},\,g=\frac{3}{2},\,f=\frac{3}{2},\,c=1\]            So angle q between the lines is given by            \[\therefore \]\[c=k\]            \[\Rightarrow \theta ={{\cos }^{-1}}\left( \frac{4}{5} \right)\].


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