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Standard IX

Mathematics

Equal Chords

If arcs AXB a...

Question

If arcs AXB and CYD of a circle are congruent, then what is the ratio of chord AB and chord CD?

1 : 2

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1 : 1

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2 : 1

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None of these

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Solution

The correct option is B 1 : 1
We have $ˆ A X B ≅ ˆ C Y D$ Since, if two arcs of a circle are congruent, then their corresponding chords are equal, so we have chord AB = chord CD Hence AB : CD 1 : 1

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Similar questions

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Two chords $A B,$ $C D$ of lengths $5 c m$ and $11 c m$ respectively of a circle are parallel. If the distance between $A B$ and $C D$ is $3 c m,$ find the radius of the circle.

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If arcs AXB and CYD of a circle are congruent, then what is the ratio of chord AB and chord CD?

The correct option is B 1 : 1We have ˆAXB≅ˆCYD Since, if two arcs of a circle are congruent, then their corresponding chords are equal, so we have chord AB = chord CD Hence AB : CD 1 : 1

The correct option is B 1 : 1
We have $ˆ A X B ≅ ˆ C Y D$ Since, if two arcs of a circle are congruent, then their corresponding chords are equal, so we have chord AB = chord CD Hence AB : CD 1 : 1