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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    The length of sub tangent to the curve \[{{x}^{2}}{{y}^{2}}={{a}^{4}}\] at the point \[(-a,a)\] is:

    A)  3a                         

    B)  2a

    C)  4a                                         

    D)  a

    Correct Answer: D

    Solution :

    Equation of the curve \[{{x}^{2}}{{y}^{2}}={{a}^{4}}\]     ?(i) Differentiating equation (i) \[{{x}^{2}}.y\frac{dy}{dx}+{{y}^{2}}.2x=0\]                 \[\Rightarrow \]               \[x\frac{dy}{dx}+y=0\] \[\Rightarrow \]               \[\frac{dy}{dx}=-y/x=\frac{a}{a}=1\] Length of sub tangent \[=\frac{y}{dy/dx}=a\]


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