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

  • question_answer
    If the point (2,-3) lies on \[k{{x}^{2}}-3{{y}^{2}}+2x+y-2=0\], then k is equal to

    A)            \[\frac{1}{7}\]                      

    B)            16

    C)            7    

    D)            12

    Correct Answer: C

    Solution :

               Point \[(2,-3)\] lies on the line \[k{{x}^{2}}-3{{y}^{2}}+2x+y-2=0\]                    Þ \[{{(2)}^{2}}k-3{{(-3)}^{2}}+2.2-3-2=0\]                    \[4k-28=0\Rightarrow k=7\].


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