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    What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the ci
    Question

    What is the ratio of the angles subtended by a chord at the centre of a circle to the angle subtended at any point on the circumference of the circle?

    A.

    1 : 3

    B.

    2 : 1

    C.

    3 : 1

    D.

    1 : 2

    Correct option is B

    Given:

    A fixed chord in a circle subtends an angle at the centre and an angle at a point on the circumference.

    Concept Used:

    Angle subtended by an arc (or chord) at the centre is twice the angle subtended on the circumference standing on the same arc:
    AOB=2ACB.\angle AOB = 2\angle ACB.​​

    Solution:
    Hence, the ratio (centre : circumference) = 2 : 1.

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