In the given figure two circles whose centres O and O' intersect at P. Through P

In the given figure two circles whose centres O and O’ intersect at P. Through P, a line parallel to OO’ intersecting the circles at C and D is drawn as shown. Prove that CD = 200’.
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Given Given circles having centres O and O’ intersect at P.
Also CD ||OO’.
To prove CD = 2OO’
Construction Draw OA and O’B perpendicular to CD from O and O’, respectively.
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Proof OA⊥CD
∴OA bisects the chord.
Also, CP is perpendicular from the centre to the chord bisects the chord.
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