Question
Sketch the region common to the circle and the parabola . Also, find the area of the region, using integration.
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Text solutionVerified
The given curves are
---- ( 1 )
---- ( 2 )
On solving equation ( 1 ) and ( 2 ) we get,
We are not taking negative value so,
Putting in ( 1 ) we get,
Thus, the circle ( 1 ) cuts the at and
Required area
[ Where, ]
Sq. units. [ Where, ]
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Question Text | Sketch the region common to the circle and the parabola . Also, find the area of the region, using integration. |
Answer Type | Text solution:1 |
Upvotes | 151 |