JEE Main & Advanced Mathematics Conic Sections Question Bank Hyperbola

  • question_answer
    The equation \[{{x}^{2}}+4xy+{{y}^{2}}+2x+4y+2=0\] represents

    A)            An ellipse                                  

    B)            A pair of straight lines

    C)            A hyperbola                               

    D)            None of these

    Correct Answer: C

    Solution :

               Obviously \[{{h}^{2}}>ab\]                    and\[\Delta =(1)\,(1)\,(2)+2(2)\,(1)\,(2)-(1)\,{{(2)}^{2}}-(1)\,{{(1)}^{2}}-2{{(2)}^{2}}<0\]                    Hence it is a hyperbola.


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