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JEE Main & Advanced Mathematics Conic Sections Question Bank Parabola

  • question_answer
    . The angle of intersection between the curves \[{{x}^{2}}=4(y+1)\] and \[{{x}^{2}}=-4(y+1)\] is        [UPSEAT 2002]

    A)            \[\frac{\pi }{6}\]                       

    B)            \[\frac{\pi }{4}\]

    C)            0     

    D)            \[\frac{\pi }{2}\]

    Correct Answer: C

    Solution :

               Point of intersection\[=(0,\,-1)\]; \[\frac{dy}{dx}=\frac{2x}{4}\] and \[\frac{-2x}{4}\]            \ \[{{m}_{1}}=0,\,\,{{m}_{2}}=0\] Þ \[\theta ={{0}^{o}}.\]


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