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Circles Tangents Problems (view source)
Revision as of 06:14, 14 August 2014
, 06:14, 14 August 2014→Problem-6 [Ex-15.4-B3]
=Problem-6 [Ex-15.4-B3]=
=Problem-6 [Ex-15.4-B3]=
In circle with center O , diameter AB and a chord AD are drawn. Another circle drawn with OA as diameter to cut AD at C. Prove that BD=2OC.[[File:15.4B3.png|300px]]
In circle with center O , diameter AB and a chord AD are drawn. Another circle drawn with OA as diameter to cut AD at C. Prove that BD=2OC.[[File:15.4B3.png|300px]]
==Algorithm==
In figure, AB is the diameter of circle C_{1} and AO is the diameter of the circle C_{2}<br>in △ADB and △ACO<br>
∠ADB=90° and ∠ACO=90° [∵angles in the semi circles]<br>∠DAB=∠CAO [∵common angles]