Home
Class 12
MATHS
The area of the region (in sq units), in...

The area of the region (in sq units), in the first quadrant, bounded by the parabola `y = 9x^(2)` and the lines x = 0, y = 1 and y = 4, is

A

`(7)/(9)`

B

`(14)/(3)`

C

`(7)/(3)`

D

`(14)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
D
Area `=int_(1)^(4)xdy=int_(1)^(4)(sqrt(y))/(3)dy=(1)/(3)[(y^(3//2))/(3//2)]_(1)^(4)`
`=(2)/(9)(4^(3//2)-1^(3//2))=(2)/(9)xx7=(14)/(9)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2|34 Videos

  • APPLICATIONS OF DEFINITE INTEGRALS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

  • APPLICATIONS OF DERIVATIVES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|21 Videos

Similar Questions

Explore conceptually related problems

The area of the region in the first quad, tratbounded by the parabola y=9x^(2) and the line x=0,y=1 and y=4, is

Area bounded by the parabolas y=4x^(2), 9y=x^(2) and the line y = 2 is

The area of the region lying in the first quadrant and bounded by the curve y = 4x ^(2), and the lines y =2 and y =4 is "___________"

The area of the region bounded by the parabola y = x^(2) + 2 and the lines y = x, x = 0 and x = 3 is

The area of the region bounded by the parabola y = x^(2) and the line y = 4x is

Find the area of the region lying in the first quadrant bounded by the curve y^(2)=4x , X axis and the lines x=1, x=4 .

The area (in sq units) of the region bounded by the parabola, y=x^(2)+2 and the lines, y=x+1,x=0 and x=3 , is

The area (in sq. units) of the region bounded by the parabola y=x^2+2" and the lines " y=x+1, x=0 " and " x=3 , is

Area in the first quadrant bounded by the hyperbola 9x^(2)-y^(2)=36 , the X-axis and the lines x = 2, x = 4 is