Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 04 Jan 2012
Posts: 4

In the xy plane, the point (2,3) is the center of a circle
[#permalink]
Show Tags
02 May 2012, 18:55
Question Stats:
79% (01:50) correct 21% (02:18) wrong based on 241 sessions
HideShow timer Statistics
In the xy plane, the point (2,3) is the center of a circle. The point (2,1) lies inside the circle and the point (4,3) lies outside the circle. If the radius r of the circle is an integer, then r= A. 6 B. 5 C. 4 D. 3 E. 2 Please explain how to approach such questions. Bunuel: Kindly post a link of similar questions for practice. Thanks in advance.
Official Answer and Stats are available only to registered users. Register/ Login.




VP
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 1489

Re: circle
[#permalink]
Show Tags
02 May 2012, 21:13
(2,3) is the center of the circle. (2,1) lies inside the circle => The radius of the circle is greater than 4 units (as the x coordinates of the center and the point are the same, the distance from the center to the point is the difference in y coordinates, or 4 units) (4,3) lies outside the circle => The radius of the circle is less than 6 units Between 4 and 6, the only integer is 5. Therefore the radius of the circle must be 5 units. Option (B)
_________________
GyanOne  Top MBA Rankings and MBA Admissions Blog
Top MBA Admissions Consulting  Top MiM Admissions Consulting
Premium MBA Essay ReviewBest MBA Interview PreparationExclusive GMAT coaching
Get a FREE Detailed MBA Profile Evaluation  Call us now +91 98998 31738




Math Expert
Joined: 02 Sep 2009
Posts: 49892

Re: In the xy plane, the point (2,3) is the center of a circle
[#permalink]
Show Tags
03 May 2012, 00:21
saishankari wrote: In the xy plane, the point (2,3) is the center of a circle. The point (2,1) lies inside the circle and the point (4,3) lies outside the circle. If the radius r of the circle is an integer, then r=
A. 6 B. 5 C. 4 D. 3 E. 2
Please explain how to approach such questions. Bunuel: Kindly post a link of similar questions for practice. Thanks in advance. I'd quickly mark the points on a plane to SEE the whole picture: Attachment:
Circle.png [ 11.45 KiB  Viewed 9139 times ]
You can see that the radius must be more than 4 (since the distance between (2, 3) and (2, 1) is 4) but less than 6 (since the distance between (2,3) and (4, 3) is 6). It's given that r is an integer therefore r=5. Answer: B. Theory on Coordinate Geometry: mathcoordinategeometry87652.htmlDS questions on Coordinate Geometry: search.php?search_id=tag&tag_id=41PS questions on Coordinate Geometry: search.php?search_id=tag&tag_id=62Hope it helps.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Joined: 15 Oct 2015
Posts: 323
Concentration: Finance, Strategy
GPA: 3.93
WE: Account Management (Education)

In the xyplane, the point (2,3) is the center of a circle.
[#permalink]
Show Tags
24 Mar 2016, 00:07
In the xyplane, the point (2,3) is the center of a circle. The point (2,1) lies inside the circle and the point (4,3) lies outside the circle. If the radius r of the circle is an integer, then r =
6 5 4 3 2
Please give a clear solution. Kudos awaits you



Math Expert
Joined: 02 Sep 2009
Posts: 49892

Re: In the xy plane, the point (2,3) is the center of a circle
[#permalink]
Show Tags
24 Mar 2016, 00:09



Math Expert
Joined: 02 Aug 2009
Posts: 6957

Re: In the xy plane, the point (2,3) is the center of a circle
[#permalink]
Show Tags
24 Mar 2016, 00:15
Nez wrote: In the xyplane, the point (2,3) is the center of a circle. The point (2,1) lies inside the circle and the point (4,3) lies outside the circle. If the radius r of the circle is an integer, then r =
6 5 4 3 2
Please give a clear solution. Kudos awaits you Hi, lets see the two infos apart from that center is at (2,3).. 1)The point (2,1) lies inside the circleif you see the similarity in two set of coord X value has not changed but y has changed from 1 to 3.. so distance between these two points= 1(3)=4 so r>4, as (2,1) lies inside the circle2) the point (4,3) lies outside the circlehere y does not change but only x changes from 2 to 4.. so distance = 4(2)=6.. so r<6..Now r is an integer nad only r as 5 satisfies r>4 and r<6.. B
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



SVP
Joined: 06 Nov 2014
Posts: 1884

In the xy plane, the point (2,3) is the center of a circle
[#permalink]
Show Tags
31 Mar 2016, 21:48
Nez wrote: In the xyplane, the point (2,3) is the center of a circle. The point (2,1) lies inside the circle and the point (4,3) lies outside the circle. If the radius r of the circle is an integer, then r =
6 5 4 3 2
Please give a clear solution. Kudos awaits you This question might look intimidating because of its language, but once you start solving it, you will realise that the options are given to you in such a way that you reach the correct answer easily. The radius will lie somewhere between the distance of centre from the inner point and the distance from the outer point. Distance between centre and inner point = Distance between (2,3) and (2, 1) We can solve for the distance by using the formula for distance between two points. But that is not required here. If one of the coordinates is same, then the distance between two points is simply the difference between the other coordinate.In this case, Distance = 1  (3) = 4 Distance between centre and utter point = Distance between (2, 3) and (4, 3) = 4  (2) = 6 The radius has to be between 4 and 6 On looking at the options, only 5 satisfies Correct Option: B



NonHuman User
Joined: 09 Sep 2013
Posts: 8408

Re: In the xy plane, the point (2,3) is the center of a circle
[#permalink]
Show Tags
26 Apr 2017, 18:38
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: In the xy plane, the point (2,3) is the center of a circle &nbs
[#permalink]
26 Apr 2017, 18:38






