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

  • 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] In a \[\Delta ABC\], if D is a point on BC such that D divides BC in the ratio AB: AC, then AD is the bisector of \[\angle A\].
    Reason [R] The external bisector of an angle of a triangle divides the opposite sides internally in the ratio of the sides containing the angle.
     

    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: C

    Solution :

    The internal bisector of an angle of a triangle divides the opposite sides internally in the ratio of sides containing the angle. Statement I is True and Statement II is False.


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