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

  • question_answer
    The nature of straight lines represented by the equation \[4{{x}^{2}}+12xy+9{{y}^{2}}=0\] is                                      [MP PET 1988]

    A)            Real and coincident           

    B)            Real and different

    C)            Imaginary and different  

    D)            None of the above

    Correct Answer: A

    Solution :

               \[4{{x}^{2}}+12xy+9{{y}^{2}}=0\]                    Here\[{{h}^{2}}-ab=36-36=0\], \[\left( \text{from}\tan \theta =\frac{\pm 2\sqrt{{{h}^{2}}-ab}}{a+b} \right)\]                    Hence, lines are real and coincident.


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