If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then $x^{2}+y^{2}$ is equal to

If x = a cosθ+ b sinθ and y = b cosθ- a sinθ, then $x^{2}+y^{2}$ is equal to
1). ab
2). $a^{2}+b^{2}$
3). $a^{2}-b^{2}$
4). 1

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