Home
Class 12
MATHS
The area bounded by the curves x+y=2 and...

The area bounded by the curves `x+y=2` and `y=x^2` above x-axis in the first quadrant is ,

A

`1/2`

B

`2/3`

C

`(10)/(12)`

D

`6/5`

Text Solution

Verified by Experts

The correct Answer is:
C
Solving `x+y=2 & y=x^(2) implies x=-2,1`
`therefore`Area of OBAM`=int_(0)^(1)x^(2)dx +int_(1)^(2)(2-x)dx`
`=(1)/(3)+(2x-(x^(2))/(2))|_(1)^(2)=(5)/(6)=(10)/(12)`.
Promotional Banner

Similar Questions

Explore conceptually related problems

The area (in sq. units) of the region bounded by the curves y=2^(x) and y=|x+1| , in the first quadrant is :

The area bounded by the curves y=In x,y=|ln x| and the y-axis is

Find the area of the region bounded by the curves x^2 +y^2 =4, y = sqrt(3) x and x- axis in the first quadrant

The area bounded by the curve a^(2)y=x^(2)(x+a) and the x-axis is

The area bounded by the curve x = 4 - y^(2) and the Y-axis is

The area bounded by the curves y=sqrt(x),2y-x+3=0, X-axis and lying in the first quadrant is

The area of the region bounded by the curve y ^(2) = x and the Y axis in the first quadrant and lines y= 3 and y = 9 " is "_________"