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JEE Main & Advanced Sample Paper JEE Main Sample Paper-34

  • question_answer
    Let P(x) be a polynomial of degree 4 having extremumat 1,2 and Lim \[\underset{x\to 0}{\mathop{Lim}}\,\left( 1+\frac{P(x)}{{{x}^{2}}} \right)=2\] then Pis equal to

    A)  0                                            

    B)  1

    C)  2                                            

    D)  3

    Correct Answer: A

    Solution :

    \[P(x)=\left( \frac{{{x}^{4}}}{4}-{{x}^{3}}+{{x}^{2}} \right)\] So, \[p(2)=0\]


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