Exemplar exercise problems I — task. Mathematics CBSE, Class 10.

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1. If the sum of the areas of two circles with radii \(R_1\) and \(R_2\) is equal to the area of a circle of radius \(R\), then

\(R_1^2 + R_2^2 = R^2\)
\(R_1+R_2=R\)
\(R_1+R_2 < R\)
\(R_1^2 + R_2^2 < R\)

2. If the sum of the circumferences of two circles with radii \(R_1\) and \(R_2\) is equal to the circumference of a circle of radius \(R\), then

\(R_1+R_2<R\)
\(R_1+R_2=R\)
\(R_1+R_2>R\)
Nothing definite can be said about the relation among \(R_1\), \(R_2\) and \(R\)

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