JEE Advance - Mathematics (1985 - No. 36)
Sketch the region bounded by the curves $$y = \sqrt {5 - {x^2}} $$ and $$y = \left| {x - 1} \right|$$ and find its area.
$$\frac{5\pi + 2}{4}$$ sq. units
$$\frac{5\pi - 2}{4}$$ sq. units
$$\frac{5\pi}{4}$$ sq. units
$$\frac{5\pi + 4}{4}$$ sq. units
$$\frac{5\pi - 4}{4}$$ sq. units