JEE Main & Advanced Mathematics Pair of Straight Lines Question Bank Equation of Pair of Straight Lines

  • question_answer
    . The lines \[{{a}^{2}}{{x}^{2}}+bc{{y}^{2}}=a(b+c)xy\] will be coincident, if

    A)            \[a=0\] or \[b=c\]              

    B)            \[a=b\] or \[a=c\]

    C)            \[c=0\] or \[a=b\]              

    D)            \[a=b+c\]

    Correct Answer: A

    Solution :

               The lines are coincident, if \[{{H}^{2}}-AB=0,\]                    so \[{{\left\{ \frac{a(b+c)}{2} \right\}}^{2}}-{{a}^{2}}(bc)=0\] Þ \[{{a}^{2}}{{(b-c)}^{2}}=0\]                    Þ a = 0 or\[b=c\].


You need to login to perform this action.
You will be redirected in 3 sec spinner