10th Class Mathematics Polynomials Question Bank Case Based (MCQs) - Polynomials

  • question_answer
    Case Study : Q. 21 to 25
    In a classroom, four students Anil, Jay, Richa and Suresh were asked to draw the graph of \[p(x)=a{{x}^{2}}+bx+c\].
    Following graphs are drawn by the students:
    Based on the above graphs, answer the following questions:                                         
    How many students have drawn the graph correctly?

    A) 1

    B) 2

    C) 3

    D) 4

    Correct Answer: B

    Solution :

    For any quadratic polynomial \[a{{x}^{2}}+bx+c,\]the graph of the corresponding equation has one of the two shapes either open upwards like \[\cup \]or open downwards like \[\cap .\] Hence, Anil and Suresh have drawn the correct graph.
    So, option [b] is correct.

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