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

 It is currently 21 Oct 2018, 21:37

### 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

# Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 29 Apr 2015
Posts: 848
Location: Switzerland
Concentration: Economics, Finance
Schools: LBS MIF '19
WE: Asset Management (Investment Banking)
Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis  [#permalink]

### Show Tags

12 May 2015, 11:51
4
00:00

Difficulty:

45% (medium)

Question Stats:

68% (01:27) correct 32% (01:46) wrong based on 206 sessions

### HideShow timer Statistics

Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis?

A. 0
B. 1/(√3)
C. 1
D. √3
E. 5

_________________

Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!

PS Please send me PM if I do not respond to your question within 24 hours.

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2069
Re: Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis  [#permalink]

### Show Tags

12 May 2015, 22:21
3
Hi reto,

The question gives us two line segments and asks us the height of the intersection point of these line segments from the x- axis i.e. we need to find the y coordinate of the intersection point of the line segments.

We need to solve the equations of the line segments to find out the value of $$y$$

$$y=√3x−2$$ ..... (1)

$$y=2√3x−5$$..... (2)

Multiplying equation (1) by 2 and subtracting equation (2) from equation (1) would give us

$$y = 1$$

Hence the answer is Option C

Hope it helps!

Regards
Harsh
_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Director
Joined: 23 Jan 2013
Posts: 575
Schools: Cambridge'16
Re: Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis  [#permalink]

### Show Tags

07 Oct 2015, 03:35
1
1
Just solve two equations for y:
y=sqrt3*x-2
y=2sqrt3*x-5

x=(y+2)/sqrt3

substitute for x

2sqrt3*(y+2/sqrt3)-5
y=2y+4-5
y=1

C
Math Expert
Joined: 02 Aug 2009
Posts: 6975
Re: Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis  [#permalink]

### Show Tags

17 Feb 2017, 19:49
reto wrote:
Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis?

A. 0
B. 1/(√3)
C. 1
D. √3
E. 5

Hi..

Most important point..
you can easily find value of x and y as two equations and two variables..
BUT height from x axis will be value of y and not value of x..

y=√3·x−2 and y=2√3·x−5 ...
So y=√3·x−2 =2√3·x−5 .......√3·x=3......X=√3

So y =√3*x-2=√3*√3-2=3-2=1

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Manager
Joined: 08 Oct 2016
Posts: 205
Location: United States
Concentration: General Management, Finance
GPA: 2.9
WE: Engineering (Telecommunications)
Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis  [#permalink]

### Show Tags

19 Feb 2017, 09:59
Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis?

A. 0
B. 1/(√3)
C. 1
D. √3
E. 5

If same question is ask in term of x-axis should we need to eliminate "y" correct me if I am wrong
_________________

Got Q42,V17
Target#01 Q45,V20--April End

Intern
Joined: 08 May 2011
Posts: 21
Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis  [#permalink]

### Show Tags

21 May 2017, 18:34
chetan2u wrote:
reto wrote:
Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis?

A. 0
B. 1/(√3)
C. 1
D. √3
E. 5

Hi..

Most important point..
you can easily find value of x and y as two equations and two variables..
BUT height from x axis will be value of y and not value of x..

y=√3·x−2 and y=2√3·x−5 ...
So y=√3·x−2 =2√3·x−5 =>√3·x=3......X=√3

So y =√3*x-2=√3*√3-2=3-2=1

C

Hi Chetan2u ... can you breakdown the highlighted steps above?
Lines y=√3·x−2 and y=2√3·x−5 intersect at what height above the x axis &nbs [#permalink] 21 May 2017, 18:34
Display posts from previous: Sort by