Question
Find the area bounded by the curve and the line .
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Text solutionVerified
The area bounded by the curve, , and line, , is represented by the shaded area .
Let and be the points of intersection of the line and parabola.
Coordinates of point
Coordinates of point are .
We draw and perpendicular to x-axis.
Let and be the points of intersection of the line and parabola.
Coordinates of point
Coordinates of point are .
We draw and perpendicular to x-axis.
It can be observed that,
........... (1)
Therefore, required area sq. units.
Then,
Similarly, Area Area - Area
Therefore, required area sq. units.
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Question Text | Find the area bounded by the curve and the line . |
Answer Type | Text solution:1 |
Upvotes | 150 |