Q23 of 45 Page 1

Find the area of the region bounded by the curves y2 = 4ax and x2 = 4ay.

Given; The curves y2 = 4ax and x2 = 4ay.


By solving;


x2 = 4a √4ax ⇒ x4 = 64a3x


⇒ x (x3 – 64a3) = 0


∴ x = 0, 4a ⇒ y = 0, 4a


Required area





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