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Do the points P and Q lie on the same circle with center (0,0)?

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Math Expert
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V
Joined: 02 Sep 2009
Posts: 57155
Do the points P and Q lie on the same circle with center (0,0)?  [#permalink]

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New post 11 Aug 2019, 05:40
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

75% (01:07) correct 25% (00:31) wrong based on 16 sessions

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Duke & Cornell Moderator
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S
Joined: 29 May 2018
Posts: 86
Location: India
GMAT 1: 700 Q48 V38
GMAT 2: 720 Q49 V39
GPA: 4
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Re: Do the points P and Q lie on the same circle with center (0,0)?  [#permalink]

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New post 11 Aug 2019, 06:44
1
a circle is nothing but the locus of all points having a fixed distance from the center. Hence the equation of a circle with center at the origin on x-y cartesian plane is:

x^2+y^2=r^2

Statement 1: We dont know about other point
Statement 2: same constraint

Combined: 2^+3^= 13 whereas 4^1+1^2= 17

since the two are at different distances from the center, these points can not lie on the same circle

Answer C
GMAT Club Bot
Re: Do the points P and Q lie on the same circle with center (0,0)?   [#permalink] 11 Aug 2019, 06:44
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Do the points P and Q lie on the same circle with center (0,0)?

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