Math  /  Geometry

QuestionIdentify the false statement about the unit circle: A. x2+y2=1x^{2}+y^{2}=1; B. radius 1 at origin; C. infinite integer points; D. (a,b)(a, b) if a2+b2=1a^{2}+b^{2}=1.

Studdy Solution
Statement D A point (a,b)(a, b) lies on the graph of the unit circle if and only if a2+b2=1a^{2}+b^{2}=1.
This is the definition of a point on the unit circle. So, statement D is true.
The statement that is not true is C There are infinitely many points that lie on the graph of the unit circle that have integer coordinates.

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