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CAMANISHPARMAR
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Which of the following is NOT a point on the circle of radius 5 and 17 Nov 2018, 10:29
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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45% (medium)

Question Stats:

67% (01:58) correct 33% (01:56) wrong based on 394 sessions

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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)


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E
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AnisMURR
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Which of the following is NOT a point on the circle of radius 5 and 20 Nov 2018, 10:51
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We have to calculate the distance between O and each of the points.

We search for the one that is different than 5, because we want the point to be outside the circle.

The first 4 points lies on the circle, the last one NO.

So Answer E
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Which of the following is NOT a point on the circle of radius 5 and 20 Nov 2018, 18:28
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CAMANISHPARMAR
Attachment:
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)
Show more

Time-killer alert!

This is one of those questions that require us to check/test each answer choice.
In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than the top.

For more on this strategy, see my article: https://www.gmatprepnow.com/articles/han ... -questions

Cheers,
Brent
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Which of the following is NOT a point on the circle of radius 5 and 21 Nov 2018, 06:36
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CAMANISHPARMAR
Attachment:
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)
Show more

The general formula of a circle:

(x-h)^2 + (y-k)^2 = r^2....where h & k are coordinates of the origin.

Using center above:

(x-3)^2 + (y+1)^2 = 5^2

Apply as Brent says above:

(E) (7, -6).......(7-3)^2 + (-6+1)^2 = 16 + 25 = 31.........So it does NOT belong to the circle

Answer: E
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Which of the following is NOT a point on the circle of radius 5 and 22 Nov 2018, 03:57
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CAMANISHPARMAR

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)
Show more
Let´s translate the x axis 1 unit down ("y" goes "y+1") and the y axis 3 units to the right ("x" goes "x-3")

Doing so, the center of the circle given is now at the origin(!) and "extremal points" are re-coordenated as shown:



(A) (-1,2) goes to (-4,3)
(B) (8,-1) goes to (5, 0)
(C) (0,-5) goes to (-3, -4)
(D) (6,3) goes to (3,4)
(E) (7, -6) goes to (4, -5)

It is clear that point (4,-5) does not belong to the given circle!

(It is also clear that all other points are on the circumference of the given circle... think about 3,4,5!)

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
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Which of the following is NOT a point on the circle of radius 5 and 25 Oct 2020, 14:07
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CAMANISHPARMAR

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)


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Attachment:
CGEO.jpg
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Solution:

The standard form of a circle with center (h, k) and radius r is (x - h)^2 + (y - k)^2 = r^2. Thus, we see that the equation of the given circle, with center (3, -1) and radius 5, will have the equation:


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

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

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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Which of the following is NOT a point on the circle of radius 5 and 19 Nov 2024, 23:12
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