If the area enclosed by the parabolas y2 = 16ax and x2 = 16ay, a>0 is 1024/3 square units, find the value of a.

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If the area enclosed by the parabolas y² = 16ax and x² = 16ay, a>0 is 1024/3 square units, find the value of a.

Area of the bounded region - 1024/3

Find the area of the figure bounded by the curves y = |x – 1| and y = 3 – |x|.

If the area bounded by the parabola y² = 4ax and the line y = mx is a²/12 sq. Units, then using integration, find the value of m.

Find the area of the region between the parabola x = 4y – y² and the line x = 2y – 3.

Find the area bounded by the parabola x = 8 + 2y – y²; the y - axis and the lines y = – 1 and y = 3.