Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 13 Mar 2013
Posts: 171
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)

Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance
[#permalink]
Show Tags
Updated on: 19 Aug 2018, 21:00
Question Stats:
66% (02:18) correct 34% (02:40) wrong based on 102 sessions
HideShow timer Statistics
Point K = (A, 0), Point G = (2A + 4, \(\sqrt{2A + 9}\)). Is the distance between point K and G prime? (1) A^2 – 5A – 6 = 0 (2) A > 2
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Regards ,
Originally posted by TheKingInTheNorth on 09 Jun 2017, 22:49.
Last edited by Bunuel on 19 Aug 2018, 21:00, edited 1 time in total.
Renamed the topic and edited the question.



BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 3138
Location: India
GPA: 3.12

Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance
[#permalink]
Show Tags
09 Jun 2017, 23:44
abhisheknandy08 wrote: Point K = (A, 0), Point G = 2A 4, 2A9. Is the distance between point K and G prime? (1) A2 – 5A – 6 = 0 (2) A > 2 What is Point G, it is not clear. Kindly check the question stem.
_________________
You've got what it takes, but it will take everything you've got



Manager
Joined: 13 Mar 2013
Posts: 171
Location: United States
Concentration: Leadership, Technology
GPA: 3.5
WE: Engineering (Telecommunications)

Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance
[#permalink]
Show Tags
10 Jun 2017, 01:18
Correct version of the question .
Attachments
Question.PNG [ 9.27 KiB  Viewed 1190 times ]
_________________
Regards ,



BSchool Forum Moderator
Joined: 26 Feb 2016
Posts: 3138
Location: India
GPA: 3.12

Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance
[#permalink]
Show Tags
10 Jun 2017, 01:35
Formula used: Distance between points K(x1,y1) and G(x2,y2) = \(\sqrt{(x1  x2)^2 + (y1  y2)^2}\)On analyzing statement 1 independently, we get A = 6,1 When A=6, Points K(6,0) and G(16,\(\sqrt{21}\)) have a distance of 11(a prime number) But if A=1, Points K(1,0) and G(2,\(\sqrt{7}\)) have a distance of 4(not a prime number) Insufficient. Similarly on analyzing statement 2 independently, using A = 3,6 Since we have got the distance, when A=6 to be prime. Let analyze if A=3 Points K(3,0) and G(10,\(\sqrt{15}\)) have a distance of 8(not a prime number) Insufficient. But, on combining both the statements, we can clearly say A=6, which has a prime number as the distance between K and G. Sufficient(Option C)
_________________
You've got what it takes, but it will take everything you've got



Director
Joined: 12 Nov 2016
Posts: 758
Location: United States
GPA: 2.66

Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance
[#permalink]
Show Tags
16 Jun 2017, 15:52
In order to solve this question we need a restriction on the possibilities for X statement 1 and 2 individual fail to provide criteria that allow us to narrow down a discrete value of "a" but statement 1 and 2 together allow us to factor the equation in one and asses one value of a.
Posted from my mobile device



NonHuman User
Joined: 09 Sep 2013
Posts: 8175

Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance
[#permalink]
Show Tags
19 Aug 2018, 21:01
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: Point K = (A, 0), Point G = (2A + 4, (2A + 9)^(1/2)). Is the distance &nbs
[#permalink]
19 Aug 2018, 21:01






