BITSAT 2005 Solved Question Paper

Given curves are
y=x2 .......(i)
and y=2−x2
or x2=−(y−2) ......(ii)
On solving Eqs. (i) and (ii), we get
x=−1,1
and y=1,1 Required area = Area of curve OABCO
=2 Area of curve OABO
=2‌

1

∫

0

ydx
=2‌

1

∫

0

[(2−x2)−(x2)]dx
=2‌

1

∫

0

(2−2x2)dx
=4[x−

x3

3

]01
=4[1−

1

3

]
=

8

3

sq units.