It is currently 17 Nov 2019, 03:08

### 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 coordinate plane above, point C is not displ

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 8760
Followers: 175

Kudos [?]: 2035 [0], given: 8089

In the coordinate plane above, point C is not displ [#permalink]  02 Aug 2017, 08:12
Expert's post
00:00

Question Stats:

60% (01:41) correct 39% (01:20) wrong based on 66 sessions

Attachment:

#GREpracticequestion In the coordinate plane above, point C is not displayed.jpg [ 9.24 KiB | Viewed 1106 times ]

In the coordinate plane above, point C is not displayed. If the length of line seg­ment BC is twice the length of line segment AB, which of the following could not be the coordinates of point C?

(A) (-5,-2)

(B) (9, 12)

(C) (10, 11)

(D) (11, 10)

(E) (13, 4)
[Reveal] Spoiler: OA

_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.

Director
Joined: 03 Sep 2017
Posts: 519
Followers: 2

Kudos [?]: 384 [1] , given: 66

Re: In the coordinate plane above, point C is not displ [#permalink]  19 Sep 2017, 07:48
1
KUDOS
Since the AB segment has one extreme in the origin (0,0), its length can be measures as $$sqrt(3^2+4^2)=sqrt(25)=5$$. The segment BC = 2AB is thus 10 long. Then, given the formula for the distance between two points we have to look for the couplet whose distance from B is different from 10. Since choice C implies a distance of $$4sqrt(6)<10$$, this is the answer!
Manager
Joined: 27 Feb 2017
Posts: 189
Followers: 1

Kudos [?]: 66 [0], given: 15

Re: In the coordinate plane above, point C is not displ [#permalink]  18 Sep 2018, 14:10
In order to solve this, find AB= 5, I.E BC= 10
BC^2=100
Now using backsolving, see which coordinates do not give 100 as the squared difference of B and C. The answer is C.
Intern
Joined: 02 Jan 2019
Posts: 14
Followers: 0

Kudos [?]: 6 [3] , given: 9

Re: In the coordinate plane above, point C is not displ [#permalink]  13 Jan 2019, 05:00
3
KUDOS
AB is the hypotenuse of the triangle which has vertices of (0/0), (3/0) and (3/4). The lengths of the two shorter sides are 3 (horizontal side) and 4 (vertical side). This is the most common form of a 3 - 4 - 5 Pythagorean triple. Thus the hypotenuse is has a length of 5.

Twice the line segment equals a distance of 10. So every point which has a distance equal to 10 to point B is a possible coordinate. Since the point can be anywhere with a distance of 10, we can think of the set of possible places for point C as all points on the "outer line of" a circle with a radius of 10.

Circle formula: (x-h)^2 + (y-k)^2 = r^2 ,where (h/k) is the center of the circle and r is the radius. In this case, the center is (3/4) and the radius is 10.

Thus we plug in the given values in the formula.

(x-3)^2 + (y-4)^2 = 10^2

Finally, we plug in the x and y coordinates of the answer choices in the formula.

A) (-5-3)^2 + (-2-4)^2 = 10^2
64 + 36 =100

...

C) (10-3)^2 + (11-4)^2 = 10^2
49 + 49 =/= 100
Here, the equation is not fulfilled and thus the distance from B to C is shorter than 10.
Manager
Joined: 18 Jun 2019
Posts: 124
Followers: 0

Kudos [?]: 21 [0], given: 62

Re: In the coordinate plane above, point C is not displ [#permalink]  05 Sep 2019, 17:55
Any other solutions for this question?
Re: In the coordinate plane above, point C is not displ   [#permalink] 05 Sep 2019, 17:55
Display posts from previous: Sort by