It is currently 15 Jun 2019, 20:32
My Tests

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

In the rectangular coordinate system, (x,y) is a point on a

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
2 KUDOS received
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 6866
Followers: 114

Kudos [?]: 1326 [2] , given: 6284

CAT Tests
In the rectangular coordinate system, (x,y) is a point on a [#permalink] New post 20 Dec 2017, 15:35
2
This post received
KUDOS
Expert's post
00:00

Question Stats:

19% (00:33) correct 80% (00:53) wrong based on 26 sessions
In the rectangular coordinate system, (x,y) is a point on a circle that has center (3,2) and is tangent to the x-axis at (3,0).

Quantity A
Quantity B
The least possible value of x
zero



A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests


Last edited by Carcass on 13 Sep 2018, 09:24, edited 1 time in total.
Edited the OA
Manager
Manager
Joined: 25 Nov 2017
Posts: 51
Followers: 0

Kudos [?]: 43 [0], given: 5

Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink] New post 20 Dec 2017, 18:09
For this one, since the radius is 3 it supposed to touch the x intercept 0?
Founder
Founder
User avatar
Joined: 18 Apr 2015
Posts: 6866
Followers: 114

Kudos [?]: 1326 [0], given: 6284

CAT Tests
Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink] New post 21 Dec 2017, 16:33
Expert's post
Added the OA.

Regards
_________________

Get the 2 FREE GREPrepclub Tests

1 KUDOS received
Director
Director
Joined: 20 Apr 2016
Posts: 900
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 666 [1] , given: 147

CAT Tests
Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink] New post 22 Dec 2017, 23:27
1
This post received
KUDOS
Carcass wrote:
In the rectangular coordinate system, (x,y) is a point on a circle that has center (3,2) and is tangent to the x-axis at (3,0).

Quantity A
Quantity B
The least possible value of x
zero



A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation



Here the distance between the centre of the circle (3,2) to the point (3,0),tangent to x asis is = \(\sqrt{(3-3)^2 + (0-2)^2}\) = 2, which is the radius of the circle.

Now (x,y) is any point in this circle with radius 2, so the minimum value of x > 0

Hence option A
_________________

If you found this post useful, please let me know by pressing the Kudos Button


Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html

Intern
Intern
Joined: 12 Nov 2018
Posts: 25
Followers: 0

Kudos [?]: 7 [0], given: 16

Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink] New post 28 Feb 2019, 08:06
the least possible value of x is 1 as the radius is 2. So while touching (1,2 ) point , x will be the least possible value
1 KUDOS received
Supreme Moderator
Joined: 01 Nov 2017
Posts: 370
Followers: 5

Kudos [?]: 111 [1] , given: 4

Re: In the rectangular coordinate system, (x,y) is a point on a [#permalink] New post 28 Feb 2019, 09:45
1
This post received
KUDOS
Expert's post
Carcass wrote:
In the rectangular coordinate system, (x,y) is a point on a circle that has center (3,2) and is tangent to the x-axis at (3,0).

Quantity A
Quantity B
The least possible value of x
zero



A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.

kudo for the right solution and explanation



Now the distance between points (3,2) and (3,0) will be the radius, so radius = 2, which is the change in y axis when x remains 3.

We are looking for the least possible value of x will be the distance between center and radius 2. Thus 3-2=1
But B is 0.

Hence A is greater.

A
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: In the rectangular coordinate system, (x,y) is a point on a   [#permalink] 28 Feb 2019, 09:45
Display posts from previous: Sort by

In the rectangular coordinate system, (x,y) is a point on a

  Question banks Downloads My Bookmarks Reviews Important topics  


GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.