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JEE Main & Advanced Sample Paper JEE Main Sample Paper-33

  • question_answer
    The number of possible tangents which can be drawn to the curve \[4{{x}^{2}}-9{{y}^{2}}=36\], which are perpendicular to the straight line \[5x+2y-10=0\] is

    A)  zero    

    B)                                     1

    C)  2          

    D)                                     4

    Correct Answer: A

    Solution :

    \[y\,=\,-(5/2)\,x+5\,\Rightarrow \,m=\,2/5\,\Rightarrow \,{{a}^{2}}\,{{m}^{2}}-\,{{b}^{2}}\] \[=9\times 4/25-4=(36-100)/25\,<0\] Note that the slope of the tangent (2/5) is less than the slope of the asymptote which is 2/3 which is not possible.


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