two points concentric circles with center o . what is the ratio of the length of XQ and PY?l
Answers
Answer:
MATHS
In figure there are two concentric circles with centre O and of radii 5 cm and 3 cm. From an external point P tangents PA and PB are drawn to these circles. If AP = 12 cm find the length of BP
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MEDIUM
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ANSWER
Two concentric circles with center O. OA is 5 cm and OB is 3 cm.
Join OP.
Now, in △OAP
∠OAP=90
∘
(Angles between radius and tangent)
OA
2
+AP
2
=OP
2
5
2
+12
2
=OP
2
OP=13 cm
In △OBP,
OB
2
+BP
2
=OP
2
3
2
+BP
2
=13
2
BP=
160
=4
10
cm
Answer:
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Step-by-step explanation:
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