if the sum of areas of two circles with radii R1 and R2 is equal to the area of a circle of radius R ,then find relation between R, R1 and R2.
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Answer:
circlewithradiusR
1
=πR
1
2
and
ar.circlewithradiusR
2
=πR
2
2
.
∴sumoftheareas=π(R
1
2
+R
2
2
).
Againar.circlewithradiusR=πR
2
.
∴Bythegivenconditionπ(R
1
2
+R
2
2
)=πR
2
⟹(R
1
2
+R
2
2
)=R
2
.
Ans−OptionB.
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