Home
Class 12
MATHS
Make a rough sketch of the region {(x,y)...

Make a rough sketch of the region `{(x,y) : 0 le y le x^(2) , 0 le y le x , 0 le x le 2}` and find the area of the region using integration.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE PAPER 2023 TERM I

    CBSE MODEL PAPER|Exercise SECTION E|10 Videos

  • SAMPLE PAPER 2023 TERM I

    CBSE MODEL PAPER|Exercise SECTION C|9 Videos

  • SAMPLE PAPER 2022 TERM II

    CBSE MODEL PAPER|Exercise SECTION C|5 Videos

  • SAMPLE PAPER 2024

    CBSE MODEL PAPER|Exercise Question|102 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region {(x,y):0 le y le x^(2)+1,0 le y le x + 1,0 le x le 2}.

Find the area of region {(x,y):0leylex^(2)+1, 0 le y le x+ 1, 0 le x le 2} .

Knowledge Check

  • The area of the region {(x,y): xy le 8,1 le y le x^(2)} is :

    A
    `8 log_(e )2-(14)/(3)`
    B
    `8 log_(e )2-(7)/(3)`
    C
    `16 log_(e )2-6`
    D
    `16 log_(e )2-(14)/(3)`

  • The area of the region {(x,y):x^(2)+y^(2) le 1 le x+y} , is

    A
    `(pi)/(5)`
    B
    `(pi)/(4)`
    C
    `(pi^(2))/(4)`
    D
    `(pi)/(4)-(1)/(2)`

  • The area of the region : R = {(x, y) : 5x^2 le y le 2x^2 + 9} is :

    A
    `11sqrt3` square units
    B
    `12sqrt3` square units
    C
    `9sqrt3` square units
    D
    `6sqrt3` square units

    • Similar Questions

    Explore conceptually related problems

    Find the area of the region {(x,y) : x^2 le y le x }

    Draw a rough sketch of the region {(x,y): y^2 le 3x,3x^2 + 3y^2 le16 } and find the ara enclesed by the region using the method of intergraion

    Draw a rough sketch of the region {(x,y) : y^(2)le 6 a x and x^(2)+y^(2)le 16 a^(2)} . Also, find the area of the region sketched using method of integration.

    Find the area of the region [ (x,y) :x^2 le y le x )

    Find the area of the region {(x,y):x^2 le y le |x| }.

    Home
    Profile