XY and MN are two parallel chords of a circle whose diameter is XM. Then,

XY = 2MN

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XY = MN

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XY = ½ MN

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XY = ¼ MN

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Solution

The correct option is B
XY = MN

If two angles and one side of one triangle are equal to two angles and the corresponding side of the other triangle, then the two triangles are congruent. The corresponding parts of two congruent triangles are equal. The perpendicular drawn through the centre to the chord bisects the chord.

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