Home
Class 12
MATHS
Find the area of the region bounded by y...

Find the area of the region bounded by `y^2=4x, x=1, x=4` and the x-axis in the first quadrant.

A

`16 - 4sqrt2`

B

`15 - 4sqrt5`

C

`17 - 4sqrt3`

D

`18 - 4sqrt7`

Text Solution

AI Generated Solution

To find the area of the region bounded by the curve \( y^2 = 4x \), the lines \( x = 1 \), \( x = 4 \), and the x-axis in the first quadrant, we can follow these steps: ### Step 1: Understand the Curve The equation \( y^2 = 4x \) represents a parabola that opens to the right. To express \( y \) in terms of \( x \), we can take the square root: \[ y = 2\sqrt{x} \] Since we are interested in the first quadrant, we only consider the positive root. ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by y ^(2) = 8x, x=2, x=4 and the x-axis in the first quadrant.

The area of the region bounded by y^(2)=4x, x=0, x=4 and the X-axis in the first quadrant is

Find the area of the region bouonded by y^2=4x, x=1, x=4 and x-axis in the first quadrant.

Find the area of the region bounded by y^(2)=9xx=2,x=4 and the x-axis in the first quadrant.

Find the area of the region bounded by x^2=16 y ,\ y=1,\ y=4 and the y-axis in the first quadrant.

Find the area of the region bounded by x^(2)=4yy=2,y=4 and the y-axis in the first quadrant.

The area of the region bounded by x^(2)=y-2, y=4, y=6 and the Y-axis in the first quadrant is

Find the area of the region bounded by y = x ^(4), x =1, x =5 and x-axis.

The area of the region bounded by x^(2)=4y,y=1,y=4 and the Y-axis lying in the first quadrant is . . . . . . Square units.

The area of the region bounded by x^(2) = 4y , y=1, y=4 and the y-axis lying in the first quadrant is _________ square units .