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Mathematics

In a circle, O is its center and AB, CD are its two chords. If AB : CD = 3 : 2, then ratio between ∠AOB and ∠COD is :

  1. 1 : 1

  2. 3 : 2

  3. 2 : 5

  4. 3 : 5

Circles

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Answer

Ratio of the angles subtended by the chords on the center is equal to the ratio of the chords.

AOBCOD=ABCD=32\dfrac{∠AOB}{∠COD} = \dfrac{AB}{CD} = \dfrac{3}{2}

⇒ ∠AOB : ∠COD = 3 : 2.

Hence, Option 2 is the correct option.

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