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 rightward-opening parabola. To express \( y \) in terms of \( x \), we take the square root: \[ y = 2\sqrt{x} \] Since we are only interested in the first quadrant, we consider the positive root. ...
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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 x^2=4y , y = 2, y = 4 and the y-axis in the first quadrant.

Find the area of the region bounded by x^2=4y , y = 2, y = 4 and the y-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 y =x^(2)+1 ,y=x ,x=0 and y=2

The area of the region bounded by the curves y=|x-2|,x=1,x=3 and the x-axis is

The area of the region bounded by the curuse y=|x-2|,x=1,x=3 and the x-axis is

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

Find the area of the region bounded by the curves x=4y-y^(2) and the Y-axis.