NEW HERE? LEARN MORE
closeclose
Last visit was: 28 Apr 2024, 03:36 It is currently 28 Apr 2024, 03:36
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

On the xy-coordinate plane, all of the following xy-coordinate points

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92964
Own Kudos [?]: 619589 [2]
Given Kudos: 81613
Send PM
CAT Tests Forum Quiz Mode
On the xy-coordinate plane, all of the following xy-coordinate points [#permalink] New post   06 Jan 2021, 09:04
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

58% (01:46) correct 42% (02:22) wrong based on 73 sessions
Hide Show timer Statistics
On the xy-coordinate plane, all of the following xy-coordinate points lie on the circumference of a circle whose radius is 10 and whose center lies at the (x,y) point (-1,0) EXCEPT:

A. \((–6, –7)\)

B. \((–2, 3\sqrt{11})\)

C. \((–1, –10)\)

D. \((7, 6)\)

E. \((1, -4\sqrt{6})\)
ShowHide Answer
Official Answer
A
avatar
D
TarunKumar1234
VP
VP
Joined: 14 Jul 2020
Posts: 1139
Own Kudos [?]: 1292 [0]
Given Kudos: 351
Location: India
Send PM
Re: On the xy-coordinate plane, all of the following xy-coordinate points [#permalink] New post   06 Jan 2021, 14:29
For points of the circumference, Distance from center (-1,0)= radius = 10

A. (–6,–7) -> Sqrt (25+49) not equal to 10
B. (–2,3√11) -> Sqrt (1+99) = radius
C. (–1,–10) -> Sqrt (0+100) = radius
D. (7,6) -> Sqrt (64+36) = radius
E. (1,−4√6) -> Sqrt(4 +96)= Radius.

So, I think A. :)
User avatar
G
TestPrepUnlimited
Tutor
Joined: 17 Sep 2014
Posts: 1251
Own Kudos [?]: 938 [0]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Send PM
Re: On the xy-coordinate plane, all of the following xy-coordinate points [#permalink] New post   07 Jan 2021, 08:29
Expert Reply
Bunuel wrote:
On the xy-coordinate plane, all of the following xy-coordinate points lie on the circumference of a circle whose radius is 10 and whose center lies at the (x,y) point (-1,0) EXCEPT:

A. \((–6, –7)\)

B. \((–2, 3\sqrt{11})\)

C. \((–1, –10)\)

D. \((7, 6)\)

E. \((1, -4\sqrt{6})\)


The first point gives us the radius would be \(\sqrt{(-1 + 6)^2 + 7^2} = \sqrt{5^2 + 7^2}\) which is not 10, so A is the answer. To get the radius of 10 from integers we need either a difference of (0, 10) or (6, 8).

Ans: A
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18768
Own Kudos [?]: 22073 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: On the xy-coordinate plane, all of the following xy-coordinate points [#permalink] New post   15 Jan 2021, 11:32
Expert Reply
Bunuel wrote:
On the xy-coordinate plane, all of the following xy-coordinate points lie on the circumference of a circle whose radius is 10 and whose center lies at the (x,y) point (-1,0) EXCEPT:

A. \((–6, –7)\)

B. \((–2, 3\sqrt{11})\)

C. \((–1, –10)\)

D. \((7, 6)\)

E. \((1, -4\sqrt{6})\)

Solution:

Using the center of the circle (-1, 0) and the radius of 10, we can create the equation of circle as follows:

(x - (-1))^2 + (y - 0)^2 = 10^2

(x + 1)^2 + y^2 = 100

We see that (-6, -7) cannot be a point on the circumference of the circle since (-6 + 1)^2 + (-7)^2 = 25 + 49 = 74, which is not equal to 100.

Answer: A
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32715
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: On the xy-coordinate plane, all of the following xy-coordinate points [#permalink] New post   08 Mar 2023, 11:20
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 Club Bot
gmatclubot
Re: On the xy-coordinate plane, all of the following xy-coordinate points [#permalink]
08 Mar 2023, 11:20
Moderators:
Bunuel
Math Expert
92964 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions