two concentric circles are 13 cm and 8 cm ab is the diameter of the bigger circle and BD is the tangent to a smaller circle touching it at the and intersecting the larger circle at P on producing find the length of AP
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4
Answer:
Step-by-step explanation:
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Answered by
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Answer:16
Step-by-step explanation:
Construction: OD is drawn
Solution:
Since ab is diameter of bigger circle,
Therefore apb= 90° (angle on a semicicle)
Now,
odb= 90°(radius drawn to the point of contact of a tangent )
Therefore in triangle odb and apb, we have
Apb=Odb(each 90°)
B=B(common angle)
Therefore odb is similar to apb
Therefore,
Ap/Ab=Od/Ob
Implies,Ap/2Ob=8/Ob
Implies,Ap=8*2=16
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