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In euler theorem x ^∂z⁄∂x + y ^∂z⁄∂y = nz, here ‘n’ indicates?

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In euler theorem x ^∂z⁄∂x + y ^∂z⁄∂y = nz, here ‘n’ indicates?

(a) order of z

(b) degree of z

(c) neither order nor degree

(d) constant of z

I had been asked this question in class test.

My question is taken from Partial Differentiation topic in chapter Partial Differentiation of Engineering Mathematics

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Correct answer is (a) order of z

The explanation: Statement of euler theorem is “if z is an homogeneous function of x and y of order `n` then x ^∂z⁄∂x + y ^∂z⁄∂y = nz ”.

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