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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Numerical Value Type Questions - Application of Derivatives

  • question_answer
    If the tangent to the curve \[y=\frac{x}{{{x}^{2}}-3},\] \[x\in R,\] \[\left( x\ne \pm \sqrt{3} \right),\] at a point \[(\alpha ,\beta )\ne (0,0)\] on it is parallel to the line \[2x+6y-11=0,\] then calculate \[|6\alpha +2\beta |.\]

    Answer:

    19


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