Home
Class 12
MATHS
The area of the plane region bounded by ...

The area of the plane region bounded by the curves `x""+""2y^2=""0` and `x""+""3y^2=""1` is equal to (1) `5/3` (2) `1/3` (3) `2/3` (4) `4/3`

A

`(4)/(3)` sq units

B

`(5)/(3)` sq unit

C

`(1)/(3)` sq unit

D

`(2)/(3)` sq unit

Text Solution

Verified by Experts

On solving the given curves, we get
`y=pm1 and x=-2`
`therefore` Intersection points are (-2,1) and (-2,-1)
`therefore` Required area `=|int_(-1)^(1)(1-3y^(2)-2y^(2))dy|`

`=|2int_(0)^(1)(1-y^(2))dy|=|2[y-(y^(3))/(3)]_(0)^(1)|=(4)/(3)` sq units
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|21 Videos

  • B. Arch 2021 (A)

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|13 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curves y=x^(2)+2y=x,x=0 and x=3

Find the area of the region bounded by the curves y=x^(2)+2;y=x;x=0 and x=3

Find the area of the region bounded by the curves 2y^2=x, 3y^2=x+1, y=0 .

Find the area of the region bounded by the curves y=x^(2)+2y=x,x=0, and x=3 .

The area of the region bounded by the curve x=2y+3 and the lines y=1, y=-1 is

The area of the region bounded by the curve x=2y+3 and the lines y=1, y=-1 is

The area of the region bounded by the curves y^(2)=4x and |y|=x ,is A then 3A equals

The area of the region bounded by the curves y^(2)=4x and |y|=x, is A then 3A equals