10th Class Mathematics Polynomials Question Bank Assertion and Reason MCQs - Polynomials

  • question_answer
    Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below.
    Assertion [A] \[{{x}^{2}}+4x+5\]has two zeroes.
    Reason [R] A quadratic polynomial can have atmost two zeroes.

    A) A is true, R is true; R is a correct explanation for A.

    B) A is true, R is true; R is not a correct explanation for A.

    C) A is true; R is False.

    D) A is false; R is true.

    Correct Answer: A

    Solution :

    Assertion Consider the given polynomial  \[{{x}^{2}}+4x+5\]
     Because the degree of the polynomial is 2. It is a quadratic polynomial We know that, the quadratic polynomial has atmost two zeroes
    \[\therefore \,\,{{x}^{2}}+4x+5\] has two zeroes
    \[\therefore\] Assertion is true
    Reason Clearly, Reason is true Hence, both Assertion and Reason are true and Reason is a correct explanation of Assertion
     


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