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Question -

Find the area bounded bycurves (x – 1)2 + y2 =1 and x2 + y 2 = 1



Answer -

The area bounded by thecurves, (x – 1)2 + y2 =1 and x2 + y 2 =1, is represented by the shaded area as

On solving theequations, (x – 1)2 + y2 =1 and x2 + y 2 =1, we obtain the point of intersection as Aand B.

It can be observed thatthe required area is symmetrical about x-axis.

Area OBCAO = 2 × AreaOCAO

We join AB, whichintersects OC at M, such that AM is perpendicular to OC.

The coordinates of Mare .

Therefore, required areaOBCAO = units

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