Question

Draw a rough sketch of the curve y² = 4x and find the area of region enclosed by the curve and the line y = x.

Answer 1

y² = 4x is a right handed parabola with vertex at O(0,0) and axis of parabola is x-axis.

y = x is a line passing through origin O(0,0)

Now, finding their intersection

Also, y = x 

y = 0 and y = 4

∴ Points of intersection are (0,0) and (4,4)