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JEE Main & Advanced Mathematics Applications of Derivatives Question Bank Self Evaluation Test - Application of Derivatives

  • question_answer
    Two cyclists start from the junction of two perpendicular roads, their velocities being 3 v m/ minute and 4 v m/minute. The rate at which the two cyclists are separating is

    A) \[\frac{7}{2}v\] m/minute

    B) 5 v m/minute

    C) v m/minute

    D) None of these

    Correct Answer: B

    Solution :

    [b] At time t, the distance z between the cyclists is given by \[{{z}^{2}}={{(3vt)}^{2}}+{{(4vt)}^{2}}\] \[\therefore \,\,\,z=5vt\Rightarrow \frac{dz}{dt}=5v\]


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