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

Find the area of the region bounded by the curve `y^2=4x` and the line `x = 3`.

Text Solution

AI Generated Solution

To find the area of the region bounded by the curve \( y^2 = 4x \) and the line \( x = 3 \), we can follow these steps: ### Step 1: Understand the curves The equation \( y^2 = 4x \) represents a parabola that opens to the right. The line \( x = 3 \) is a vertical line. We need to find the area between the parabola and this vertical line. ### Step 2: Find the points of intersection To find the points where the parabola intersects the line \( x = 3 \), substitute \( x = 3 \) into the equation of the parabola: ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curve y=x^(2) and the line y=4

Find the area of the region bounded by the curve y^(2)=x and the lines x=1,x=4 and the x-axis.

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

Find the area of the region bounded by the curve y =x ^(2) and the line y =4.

Find the area of the region bounded by the curve y = x ^ 2 and the line y = 4 .

Using integration, find the area of the region bounded by the parabola y^(2)=4x and the line x=4 .

Find the area of the region bounded by the curves y=x^(3) and the lines y=x+6 and y=0

Find the are of the region bounded by the curve y=x^2 + 2 and the lines y = x,x =0 and 3

Find the area of the region bounded by the curve xy=1 and the lines y=x,y=0,x=e

Find the area of the region bounded by the curve y^(2)=9x" and " y=3x .