It is currently 25 Sep 2020, 02:00

### 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

# In the xy-coordinate system, the distance between points (2\

Author Message
TAGS:
Active Member
Joined: 07 Jan 2018
Posts: 694
Followers: 11

Kudos [?]: 770 [1] , given: 88

In the xy-coordinate system, the distance between points (2\ [#permalink]  26 Jun 2018, 21:26
1
KUDOS
00:00

Question Stats:

68% (00:53) correct 31% (01:53) wrong based on 19 sessions
In the xy-coordinate system, the distance between points $$(2\sqrt{3}, -\sqrt{2}) and (5\sqrt{3}, 3\sqrt{2}$$) is approximately

A 4.1
B 5.9
C 6.4
D 7.7
E 8.1
[Reveal] Spoiler: OA
VP
Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1311 [1] , given: 251

Re: In the xy-coordinate system, the distance between points (2\ [#permalink]  27 Jun 2018, 00:34
1
KUDOS
amorphous wrote:
In the xy-coordinate system, the distance between points $$(2\sqrt{3}, -\sqrt{2}) and (5\sqrt{3}, 3\sqrt{2}$$) is approximately

A 4.1
B 5.9
C 6.4
D 7.7
E 8.1

Here we can use the formula:- $$\sqrt{(y2 -y1)^2 + (x2 -x1)^2}$$

Here y2= $$5\sqrt{3}$$; y1 = $$2\sqrt{3}$$

x2 = $$3\sqrt{2}$$ and x1 = $$\sqrt{2}$$

So putting the values in the formula we have:

= $$\sqrt{(5\sqrt{3}-2\sqrt{3})^2+(3\sqrt{2}+\sqrt{2})^2}$$=$$\sqrt{(3\sqrt{3})^2+(4\sqrt{2})^2}$$ = $$\sqrt{59}$$

Now we know $$7^2$$=49 and $$8^2$$=64, so 59 should in between $$7<\sqrt{59}<8$$.

Therefore only D. gives a possible value
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests

Re: In the xy-coordinate system, the distance between points (2\   [#permalink] 27 Jun 2018, 00:34
Display posts from previous: Sort by