Home
Class 12
MATHS
Area of region {(x,y) in R^(2): y ge ...

Area of region
`{(x,y) in R^(2): y ge sqrt(|x+3|,)5y le x + 9 le 15}`

A

`1/6`

B

`4/3`

C

`3/2`

D

`5/3`

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|17 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

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

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}.

Knowledge Check

  • If the line x = alpha divides the area of region R = {(x,y) in R^(2) : x^(0) le y le x, 0 le x le 1} into two equal parts, then

    A
    `2alpha^(4)-4alpha^(2)+1=0`
    B
    `alpha^(4)+4alpha^(2)-1=0`
    C
    `1/2 lt alpha lt 1`
    D
    `0 lt alpha le 1/2`

  • If the line x= alpha divides the area of region R={(x,y)in R^(2): x^(3) le y le x ,0 le x le 1 } into two equal parts, then

    A
    ` 2 alpha^(4)-4alpha^(2)+1=0`
    B
    `alpha^(4)+4alpha^(2)-1=0`
    C
    `(1)/(2) lt alpha lt 1 `
    D
    `0 lt alpha le (1)/(2)`

  • The area (in sq. units) of the region, R = {(x,y): y le x^(2), y le 2x + 3, x le 1 and y + 1 ge } is :

    A
    `(11)/(3)`
    B
    `(13)/(3)`
    C
    `(10)/(3)`
    D
    `(8)/(3)`

    • Similar Questions

    Explore conceptually related problems

    The area of the region A= {(x,y) in R xx R|0 le x le 3, 0 le y le 4, x^(2) + 3x} is

    2x +y ge 4 ,x+ y le 3,2x - 3y le 6

    The area (in sq. units) of the region {(x,y) in R^2: x^2 le y le 3-2x} , is :

    Consider a region R={(x,y) in R^(2):x^(2) le y le 2x} . If a line y= alpha divides the area of region R into two equal parts, then which of the following is true.?

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

    Home
    Profile