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From Karnataka Open Educational Resources
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∠PAQ=2∠OPQ
 
∠PAQ=2∠OPQ
 
=Problem-2=
 
=Problem-2=
In the figure two circles touch each other externally at  P. AB is a direct common tangent to these circles. Prove that<br>a). Tangent at P bisects AB at Q<br> b). ∠APB=90°  (Exescise-15.2, B.3)
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In the figure two circles touch each other externally at  P. AB is a direct common tangent to these circles. Prove that<br>a). Tangent at P bisects AB at Q<br> b). ∠APB=90°  (Exescise-15.2, B.3)<br>
 
[[File:fig2.png|400px]]
 
[[File:fig2.png|400px]]