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In the figure, ‘O’ is the centre of the circle and OM, ON are the perpen-diculars from the centre to the chords PQ and RS. If OM = ON and PQ = 6 cm. Find RS.

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‘O’ is the centre of the circle. 

OM = ON and 0M ⊥ PQ; ON ⊥ RS 

Thus the chords FQ and RS are equal. 

[ ∵ chords which are equidistant from the centre are equal in length] 

∴ RS = PQ = 6cm

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