22
QuizMultiple Choice

Equation of a Circle — Quiz

Question 22 • Integrated Math II CR SUSD (EX)

Which point is on the circle centered at the origin with a radius of 5 units? Distance formula: square root of open paren x sub 2 minus x sub 1 close paren squared plus open paren y sub 2 minus y sub 1 close paren squared end root

Answer
A
2 comma square root of 21
B
2 comma square root of 23
C
2 comma 1
D
2 comma 3

Explanation

A point is on a circle centered at the origin with radius 5 if its distance from (0, 0) is 5. For (2, √21), the distance is √(2² + (√21)²) = √(4 + 21) = √25 = 5. The other points do not have distance 5 from the origin.

AI-written and checked against the verified answer.

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