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Question

In a circle with centre O, diameter AD and diameter BC are given. Prove that chord AB chord CD.

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Solution

Draw a circle of radius r and draw diameters AD and BC and then join AB and CD as shown in the figure.
In AOB and COD ,
AO=DO (radius)
BO=CO (radius of circle)
AOB=DOC (opposite angles)
Hence, AOBDOC (by SAS)
ABCD {By c.p.c.t.}

891730_458107_ans_ecb8861e981346e39a894835a2b716f0.png

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