GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 17 Jan 2019, 15:26

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

The center of circle Q is on the y-axis, and the circle passes through

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Magoosh GMAT Instructor
User avatar
G
Joined: 28 Dec 2011
Posts: 4486
The center of circle Q is on the y-axis, and the circle passes through  [#permalink]

Show Tags

New post 26 Nov 2014, 10:48
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

65% (02:06) correct 35% (02:15) wrong based on 218 sessions

HideShow timer Statistics

The center of circle Q is on the y-axis, and the circle passes through points (0, 7) and (0, –1). Circle Q intersects the positive x-axis at (p, 0). What is the value of p?

(A) \(\frac{7}{3}\)

(B) \(4\)

(C) \(5\)

(D) \(\sqrt{7}\)

(E) \(\sqrt{11}\)


For a set of Coordinate Geometry practice questions with solutions, visit this page:
https://magoosh.com/gmat/2013/gmat-quan ... questions/

Mike :-)

_________________

Mike McGarry
Magoosh Test Prep


Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)

Senior Manager
Senior Manager
User avatar
B
Joined: 28 Feb 2014
Posts: 294
Location: United States
Concentration: Strategy, General Management
Reviews Badge
Re: The center of circle Q is on the y-axis, and the circle passes through  [#permalink]

Show Tags

New post 10 Jun 2015, 17:30
1
The center of circle Q is on the y-axis, and the circle passes through points (0, 7) and (0, –1). This tells us the circle's center, which is (0,3) and the radius, which is 4.

Circle Q intersects the positive x-axis at (p, 0). we can just use the equation for distance between two points. In this case, (0,3) and (p,0).

4=\(sqrt((0-3)^2 + (p-0)^2)\)
p=\(sqrt(7)\)

Answer:
(D) \(sqrt(7)\)
Board of Directors
User avatar
P
Joined: 17 Jul 2014
Posts: 2600
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)
GMAT ToolKit User Premium Member Reviews Badge
Re: The center of circle Q is on the y-axis, and the circle passes through  [#permalink]

Show Tags

New post 02 Dec 2015, 18:15
agree with D. if center of the circle is on y axis, then it must be the case that r=4 while the center is at 0,3. Now, we can draw a line from 0,3 to the point of intersection of the circle with x axis. the line will have a length of 4, since it is the radius of the circle.
we know 2 sides of a right triangle...we can find the 3rd side: 4^2 = 3^2 +x^2, where x is the length of the leg.
16=9+x^2 -> x=sqrt 7.
since the y-coordinate of the line is 0, then the x coordinate of the intersection of the circle must be sqrt 7.
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9419
Premium Member
Re: The center of circle Q is on the y-axis, and the circle passes through  [#permalink]

Show Tags

New post 28 Mar 2018, 03:55
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

GMAT Club Bot
Re: The center of circle Q is on the y-axis, and the circle passes through &nbs [#permalink] 28 Mar 2018, 03:55
Display posts from previous: Sort by

The center of circle Q is on the y-axis, and the circle passes through

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.