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What is the maximum number of points of intersection of two circles

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Math Expert
Joined: 02 Sep 2009
Posts: 50572
What is the maximum number of points of intersection of two circles  [#permalink]

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22 Oct 2017, 05:17
00:00

Difficulty:

25% (medium)

Question Stats:

70% (00:41) correct 30% (00:48) wrong based on 77 sessions

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What is the maximum number of points of intersection of two circles that have unequal radii?

(A) none
(B) 1
(C) 2
(D) 3
(E) infinite

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Manager
Joined: 22 May 2017
Posts: 88
GMAT 1: 580 Q41 V29
GMAT 2: 580 Q43 V27
Re: What is the maximum number of points of intersection of two circles  [#permalink]

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22 Oct 2017, 18:04
Bunuel wrote:
What is the maximum number of points of intersection of two circles that have unequal radii?

(A) none
(B) 1
(C) 2
(D) 3
(E) infinite

Maximum number of points of intersection is 2.
Point of intersection is 0,1 and 2 but maximum number of intersection is only 2.
Intern
Joined: 21 Nov 2016
Posts: 42
What is the maximum number of points of intersection of two circles  [#permalink]

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23 Oct 2017, 01:14
I agree with Aditya.... Max. no of points that 2 circles can intersect at, would be 2 (when radii are different).
Manager
Joined: 15 Feb 2017
Posts: 77
Re: What is the maximum number of points of intersection of two circles  [#permalink]

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23 Oct 2017, 01:30
3
IMO Option C
The maximum number of points at which two circles intersect is two.
Please give me kudos. I need them badly to increase my score.
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Re: What is the maximum number of points of intersection of two circles  [#permalink]

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21 Jun 2018, 16:07
Bunuel wrote:
What is the maximum number of points of intersection of two circles that have unequal radii?

(A) none
(B) 1
(C) 2
(D) 3
(E) infinite

Two circles with unequal radii can intersect in three ways:

1) The smaller circle is completely inside the larger circle.

2) The two circles are tangent to each other.

3) The two circles intersect like the ones in a Venn diagram.

The number of points of intersection of these three ways are 0, 1, and 2, respectively. Thus, 2 is the maximum number of intersections.

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Re: What is the maximum number of points of intersection of two circles &nbs [#permalink] 21 Jun 2018, 16:07
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