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(i)
Opposite angles of a cyclic quadrilateral are supplementary.
So ∠PBD = 180° - ∠ACD = ∠PCA.
Also, ∠BPD = ∠CPA is common to the two triangles PAC and PDB.
Therefore ΔPAC is similar to ΔPDB ( by AA rule ).
(ii)
Since ΔPAC is similar to ΔPDB,
PA / PD = PC / PB
=> PA . PB = PC . PD
deepak857:
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