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Which of the following is NOT a point on the circle of radius 5 and center O as graphed above?

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by BTGmoderatorDC » Thu Oct 15, 2020 5:46 pm
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CGEO.jpg
Which of the following is NOT a point on the circle of radius 5 and center O as graphed above?

(A) (-1, 2)
(B) (8, -1)
(C) (0, -5)
(D) (6, 3)
(E) (7, -6)


OA E

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Re: Which of the following is NOT a point on the circle of radius 5 and center O as graphed above?

by Scott@TargetTestPrep » Sat Oct 17, 2020 12:14 pm
BTGmoderatorDC wrote: ↑
Thu Oct 15, 2020 5:46 pm
 CGEO.jpg

Which of the following is NOT a point on the circle of radius 5 and center O as graphed above?

(A) (-1, 2)
(B) (8, -1)
(C) (0, -5)
(D) (6, 3)
(E) (7, -6)


OA E

Solution:

If a point (a, b) is on circle O, then it will satisfy the equation:

(x - 3)^2 + (y + 1)^2 = 25

Of all the points given in the answer choices, (7, -6) is not on circle O since:

(7 - 3)^2 + (-6 + 1)^2 = 4^2 + (-5)^2 = 16 + 25 = 41 ≠ 25

Answer: E

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