Verified answer

x^2 + y^2 = 1 is the equation of a unit circle so any point (x, y)

 that makes x^2 + y^2 = 1 must be on the unit circle, and if it doesn't make it = 1, the point is not on the unit circle.

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x² + y² = 1 is equation of a circle centre the origin and radius 1

Points on the circle satisfy this equation.

A few such points are (1,0) , (0,1) , (-1,0) , (0, -1)

Aside from the unusual use of a small letter for one variable and a capital letter for the other, the equation you wrote IS the unit circle!