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(i) Find the point at which the circle x...

(i) Find the point at which the circle `x^(2) + y^(2) = 32` intersects the positive x-axis.
(ii) Shade the region in the first quadrant enclosed by the x-axis, the line y = x and the circle `x^(2) + y^(2) = 32`.
(iii) Using integration, find the area of the shaded region.

Text Solution

Verified by Experts

The correct Answer is:
(i)`(4sqrt2, 0)`
(iii)`4pi` sq.unit
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