JEE Main & Advanced JEE Main Paper (Held On 10-Jan-2019 Morning)

  • question_answer
    The equation of a tangent to the hyperbola \[4{{x}^{2}}-5{{y}^{2}}=20\] parallel to the line \[x-y=2\] is- [JEE Main Online Paper (Held On 10-Jan-2019 Morning]

    A) \[x-y+9=0\]                           

    B) \[x-y-3=0\]

    C) \[x-y+1=0\]      

    D)                  \[x-y+7=0\]

    Correct Answer: C

    Solution :

    \[\frac{{{x}^{2}}}{5}-\frac{{{y}^{2}}}{4}\,\,=\,\,1\] \[x-y=2\text{ }\] \[y=mx\pm \sqrt{{{a}^{2}}{{m}^{2}}-{{b}^{2}}}~~~~~m=1\] \[y=x\pm \sqrt{5-4}\] \[x-y\pm 1=0\]


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