The equation of parabola is y2 = x
From the given condition, area OAP under y2 = x between x = 0 and x = a = area ABQP under y2 = x between x = a and x = 4.
Find the area of the region bounded by x2 = 4 y, y = 2, y = 4 and the y-axis in the first quadrant.
The equation of curve is x2 = 4y, which is an upward parabola.
Lines are y = 2 and y = 4
Required area = Area ABCD
Find the area of the region bounded by the curve y2 = 4x and the line x = 3.
The equation of parabola is
y2 = 4 x
The equation of line is
x = 3
Also, we know that parabola is symmetric about x-axis
∴ required area = 2 (area ORPO)
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