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## Homework Statement

Consider curves ##C_1: (y-x)=(x+y-\sqrt{2})^2## and ##C_2: (x+y-\sqrt{2})=(y-x)^2##, then the area between ##C_1## and ##C_2## is

A)1/2

B)1/3

C)1/4

D)None

## Homework Equations

## The Attempt at a Solution

Finding out the points of intersection would be a lot difficult here. And even if I find them, integration would be dirty. This is a question from my test paper and I suspect that it has an easy solution but I am unable to figure that out.

Any help is appreciated. Thanks!

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