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    The chord of a circle of radius R touches at a point on the circumference of a concentric circle of radius r. the length of the chord is 24 units.
    Question

    The chord of a circle of radius R touches at a point on the circumference of a concentric circle of radius r. the length of the chord is 24 units.
    Question: What are the values of r and R?
    Statement-I: r is an integer.
    Statement-II: R is an integer.

    A.

    If the Question can be answered by one of the Statements alone, but not by the other.

    B.

    If the Question can be answered by either Statement alone.

    C.

    If the Question can be answered by using both the Statements together, but cannot be answered by using either Statement alone.

    D.

    If the Question cannot be answered even by using both Statements together.

    Correct option is C




    (R - r)(R + r) = 144
    Statement - I: r is an integer.
    Statement - II : R is an integer.
    (R - r)(R + r) = 144 = 72 × 2 = 36 × 4
    Using this we can find the values of R and r,
    Since we are using both statements to answer the question.

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