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Mathematics

If arcs APB and CQD of a circle are congruent, then find the ratio of AB : CD.

Circles

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Answer

arc APB = arc CQD (Given)

If two arcs are equal then chords are also equal.

∴ AB = CD = x (let).

Ratio = ABCD=xx=11\dfrac{AB}{CD} = \dfrac{x}{x} = \dfrac{1}{1}

Hence, AB : CD = 1 : 1.

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