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Prove that the curves {y}^{{2}}={4}{x}and {x}^{{2}}={4}{y}divi

Question

Prove that the curves $y^{2} = 4 x$ and $x^{2} = 4 y$ divide the area of square bounded by $x = 0, x = 4, y = 4$ and $y = 0$ into three equal parts.

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Prove that the curves

y^{2} = 4 x

and

x^{2} = 4 y

divide the area of square bounded by

x = 0, x = 4, y = 4

and

y = 0

into three equal parts.

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Question Text

Prove that the curves

y^{2} = 4 x

and

x^{2} = 4 y

divide the area of square bounded by

x = 0, x = 4, y = 4

and

y = 0

into three equal parts.

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