Answer :

Let us calculate the points of intersection of x^{2} = 2y and y = x

Putting y = x in x^{2} = 2y, we get,

y^{2} = 2y

y^{2} - 2y = 0

y(y - 2) = 0

y = 0 or y = 2

And as y = x, x = 0 or x = 2

Points of intersection are (0, 0) and (2, 2)

we know that,

Applying the formula, we get,

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