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    Question

    Two circles of same radius 6 cm, intersect each other at

    P and Q. If PQ = 10cm, then what is the distance between the centers of the two circles?
    A 10 cm Correct Answer Incorrect Answer
    B 8 cm Correct Answer Incorrect Answer
    C 6√11 cm Correct Answer Incorrect Answer
    D 2√11cm Correct Answer Incorrect Answer

    Solution

    According to the given picture, O₁ and O2 be the centres of the two circles, The line joining the centers 01, 02 bisect PQ at R So, the triangle PRO₁ is a right-angle triangle, right angle at From Pythagoras theorem, O₁R = √ (62-52)   OR = √ 11 Now, distance between O₁ and O2 is 2 x O₁R = 2√11 cm

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