Q. 23.8( 68 Votes )

# Find the area bounded by curves (x – 1)^{2} + y^{2} = 1 and x^{2} + y^{2} = 1.

Answer :

It is given that area of circle, (x – 1)^{2} + y^{2} = 1 and x^{2} + y^{2} = 1.

On solving the above two equations, we get the point of intersection

We can see that the required area is symmetrical about x axis.

Thus, Area OBCAO = 2 × Area OCAO

Let us draw AM perpendicular to OC.

⇒ The coordinates of M are (, 0).

Then, Area OCAO = Area OMAO + Area MCAM

Therefore, the required area OBCAO

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