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JEE Main & Advanced Sample Paper JEE Main Sample Paper-22

  • question_answer
    The line \[y=3x-6\]is the tangent to the graph of \[f(x)\]at the point (2, 0). Then the value of \[\underset{x\to 2}{\mathop{\lim }}\,\frac{{{x}^{2}}(2x+1)f(x)}{(x-2)}\]is

    A)  0                                

    B)  60

    C)  24                               

    D)  20

    Correct Answer: D

    Solution :

    Since variance is independent of change of origin, hence the variance of the observations 101, 102, ?.,200 is the same as the variance of the observation 151, 552, ?.250. \[\therefore \,\,{{V}_{A}}={{V}_{B}}\Rightarrow \,\frac{{{V}_{A}}}{{{V}_{B}}}=1\]


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