Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 08 Mar 2014, 10:22

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# point (1,0) is closest to which line?

Author Message
TAGS:
Manager
Joined: 14 Jun 2009
Posts: 98
Followers: 1

Kudos [?]: 1 [0], given: 9

point (1,0) is closest to which line? [#permalink]  11 Aug 2009, 20:24
00:00

Difficulty:

5% (low)

Question Stats:

81% (02:03) correct 18% (00:49) wrong based on 22 sessions
point (1,0) is closest to which line?

A. y=x
B. y=1
C. y+x=3
D. x=2
E. x+y=-1
CEO
Joined: 17 Nov 2007
Posts: 3600
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 316

Kudos [?]: 1564 [0], given: 354

Re: point (1,0) is closest to which line? [#permalink]  11 Aug 2009, 21:34
Expert's post
It is easier to draw the point and lines.

1) y=x - a half of the diagonal of 1*1 square: 1/\sqrt{2}
2)y=1 - 1
3)y+x=3 - goes too far, definitely >1
4)x=2 - 1
5)x+y=-1 - goes too far, definitely >1
_________________

NEW! GMAT ToolKit 2 (iOS) / GMAT ToolKit (Android) - The must have GMAT prep app | PrepGame

Intern
Joined: 27 Aug 2009
Posts: 47
Followers: 4

Kudos [?]: 37 [0], given: 1

Re: point (1,0) is closest to which line? [#permalink]  25 Sep 2009, 08:19
walker wrote:
It is easier to draw the point and lines.

1) y=x - a half of the diagonal of 1*1 square: 1/\sqrt{2}
2)y=1 - 1
3)y+x=3 - goes too far, definitely >1
4)x=2 - 1
5)x+y=-1 - goes too far, definitely >1

_________________

Salaries are low in recession. So, working for kudos now.

Manager
Joined: 27 Oct 2008
Posts: 186
Followers: 1

Kudos [?]: 68 [0], given: 3

Re: point (1,0) is closest to which line? [#permalink]  25 Sep 2009, 22:14
Soln. I too agree with answer A. Drawing the quadrants and trying to plot the lines approximately i suppose will help to solve this problem.
Manager
Joined: 18 Jul 2009
Posts: 171
Location: India
Schools: South Asian B-schools
Followers: 2

Kudos [?]: 53 [0], given: 37

Re: point (1,0) is closest to which line? [#permalink]  26 Sep 2009, 04:04
my approach is just visualize each line in mind
( i know its easier said than done...but considering 2 mins time....i think this is the fastest way)
refer image attached.......Now the task is to find min distance from a line in options to the point (1,0).......this can also be done by a formula from a geometry chapter

First visualise point (1,0)...now to calculate min distance....here its very helpful to know a property.....in 45-45-90 triangle.....sides are in 1:1:srt(2) proportion....now apply this in following options

1) y=x....since y=x.....aangle of line wrto x axis = 45 ( shown in fig)....we need perpendicular distance hence another angle = 90 deg....thus it becomes a triangle of 45-45-90....hence hypoteneous is 1...now equate the proportion as 1:1:srt(2) = x:x:1.....this gives x = 1/srt(2)min distance = 1/srt(2)

2)y=1....min distance = 1
3)y+x=3......min distance = srt(2).......apply the same logic as of option 1
4)x=2.....min distance = 1
5)x+y=-1....min distance = srt(2).......apply the same logic as of option 1

OA A
_________________

Bhushan S.
If you like my post....Consider it for Kudos

Manager
Joined: 18 Jul 2009
Posts: 171
Location: India
Schools: South Asian B-schools
Followers: 2

Kudos [?]: 53 [2] , given: 37

Re: point (1,0) is closest to which line? [#permalink]  26 Sep 2009, 11:37
2
KUDOS
i hope now i m clear
Attachments

untitled.JPG [ 23 KiB | Viewed 1373 times ]

_________________

Bhushan S.
If you like my post....Consider it for Kudos

Senior Manager
Joined: 13 Aug 2012
Posts: 465
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 14

Kudos [?]: 148 [1] , given: 11

Re: point (1,0) is closest to which line? [#permalink]  02 Jan 2013, 22:00
1
KUDOS
arvs212 wrote:
point (1,0) is closest to which line?

1) y=x
2)y=1
3)y+x=3
4)x=2
5)x+y=-1

Best approach is to sketch the lines.
Practice getting the y-intercept and the x-intercepts.
These two intercepts will guide you win in sketching your lines.

1) (0,0) (1,1) (2,2) ... (n,n)
2) draw a line that intersects y=1 (This is quickly beaten by y=x. OUT!)
3) (0,3) (3,0) (This is quickly beaten by y=x. OUT!)
4) draw a line that intersects x=2
5) (0,-1) (-1,0) (This is quickly beaten by y=x. OUT!)

Looking at the scetch you will notice that (4) x=2 has a minimum distance of 1.
Looking at the scetch of (1) x=y has a minimum distance of d < 1
Attachments

lines.jpg [ 31.23 KiB | Viewed 744 times ]

_________________

Impossible is nothing to God.

Re: point (1,0) is closest to which line?   [#permalink] 02 Jan 2013, 22:00
Similar topics Replies Last post
Similar
Topics:
The value of (9*10^7)(9*10^8) is closest to which of the 2 11 Oct 2005, 14:54
Point (1,0) is closest to which of the following lines? y=x 2 01 Nov 2007, 12:28
4 Which of the following points is closest to line y=x? 15 21 Nov 2007, 07:14
Point (1, 0) is closest to which of the following lines? y = 11 26 Aug 2008, 09:54
Which of the following is closest to 10180 – 1030 ? A. 10 4 01 Mar 2011, 09:55
Display posts from previous: Sort by