Draw two concentric circles with radii 2 cm and 4 cm respectively. Label a point which lies
in the exterior of the circle with 2 cm radius at a distance of 3 cm from the centre as P. Does
the point P lie in the interior of circle with radius 4 cm?
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Answer:
Correct option is
A
4
10
cm
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
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