12. In a triangle ABC, the bisector of the vertical angle A meets the base at D and the circumference of the circum-circle at E. If EC is joined then
(A) AB.AD = AE.AC          (B) AB.AC = AE.AD          (C) AB.AE = AC.AD        (D) none of these


Hi, 


In triangle ACD and ABEangle ADC = angle BDEand angle ACB = angle AEBbecause AB is common chord and these two angles are in same side of chord So ACD~AEB AA similarityACAE= ADABAC×AB= AD×AE
 

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