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If A₁ denotes the area of region bounded by y² = 4x, x = 1 and x-axis in the first quadrant and A₂ denotes the area of region bounded by y² = 4x, x = 4, find A₁ : A₂.
The area of the region bounded by the curve y² = 4x and x = 1 is :
Using integration, find the area of the region bounded by the parabola y² = 4ax and its latus rectum.
If the area of the region bounded by the curve y² = 4ax and the line x = 4a is 256/3 sq. units, then using integration, find the value of a, where a > 0.
Find the area of the region {(x, y) : x² + y² ≤ 9, x + y ≥ 3}, using integration.
Using integration, find the area of the region bounded by the parabola y² = 4x, the lines x = 0 and x = 3 and the x-axis.
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