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

It is currently 18 Jan 2019, 03:52

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
  • 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.
  • FREE Quant Workshop by e-GMAT!

     January 20, 2019

     January 20, 2019

     07:00 AM PST

     07:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

A line segment joining two points on the circumference of a circle is

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52279
A line segment joining two points on the circumference of a circle is  [#permalink]

Show Tags

New post 11 Jan 2019, 00:26
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (00:41) correct 38% (01:19) wrong based on 24 sessions

HideShow timer Statistics

A line segment joining two points on the circumference of a circle is one inch from the center of the circle at its closest point. If the circle has a two–inch radius, what is the length of the line?

A. 1

B. \(\sqrt{2}\)

C. 2

D. \(2\sqrt{2}\)

E. \(2\sqrt{3}\)

_________________

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?
Extra-hard Quant Tests with Brilliant Analytics

VP
VP
User avatar
G
Joined: 18 Aug 2017
Posts: 1197
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
CAT Tests
A line segment joining two points on the circumference of a circle is  [#permalink]

Show Tags

New post Updated on: 12 Jan 2019, 03:01
1
Bunuel wrote:
A line segment joining two points on the circumference of a circle is one inch from the center of the circle at its closest point. If the circle has a two–inch radius, what is the length of the line?

A. 1

B. \(\sqrt{2}\)

C. 2

D. \(2\sqrt{2}\)

E. \(2\sqrt{3}\)



radius = 2 and line segment is 1 inches away from center which would be the length of altitude on the line segment AB
since OA = OB = 2
the point of where line segment is 1 inches from center is c so triangle AOC: 30:60:90 : 1:sqrt3:2
similarly for triangle OBC CB = sqrt 3
total AC+ CB = 2sqrt 3 IMO E
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.


Originally posted by Archit3110 on 11 Jan 2019, 02:24.
Last edited by Archit3110 on 12 Jan 2019, 03:01, edited 2 times in total.
Intern
Intern
avatar
B
Joined: 15 Nov 2018
Posts: 15
CAT Tests
Re: A line segment joining two points on the circumference of a circle is  [#permalink]

Show Tags

New post 11 Jan 2019, 06:14
Please check again , it seems you may have done a calculation error. Answer should be 2√3

Posted from my mobile device
Manager
Manager
avatar
B
Joined: 18 Oct 2018
Posts: 51
Location: India
Concentration: Finance, International Business
GPA: 4
WE: Business Development (Retail Banking)
Re: A line segment joining two points on the circumference of a circle is  [#permalink]

Show Tags

New post 11 Jan 2019, 10:25
Answer is 2√3
This is because the distance between the line and the centre is 1 inch, the radius of the circle is 2 inch. Since, the shortest distance from the centre of the circle to the line joining two points will be the perpendicular bisector of the line, so we can find the distance between the point on the circumference and the point where the line from centre meets.This is equal to (2^2-1^2)^1/2= √3
So, total length of line= 2*√3
GMAT Club Bot
Re: A line segment joining two points on the circumference of a circle is &nbs [#permalink] 11 Jan 2019, 10:25
Display posts from previous: Sort by

A line segment joining two points on the circumference of a circle is

  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®.