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

  • question_answer
    If \[6{{x}^{2}}+11xy-10{{y}^{2}}+x+31y+k=0\] represents a pair of straight lines, then \[k=\]                                        [MP PET 1991]

    A)            - 15                                           

    B)            6

    C)            - 10

    D)            - 4

    Correct Answer: A

    Solution :

               \[-6.10k+\frac{11.1.31}{4}-6{{\left( \frac{31}{2} \right)}^{2}}+10{{\left( \frac{1}{2} \right)}^{2}}-k{{\left( \frac{11}{2} \right)}^{2}}=0\]                    \[\Rightarrow -k\frac{361}{4}=\frac{5415}{4}\Rightarrow k=-15\].


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