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robu
Joined: 03 Dec 2014
Last visit: 16 Mar 2017
Posts: 68
Location: India
Concentration: General Management, Leadership
Schools: IIMA ISB '17 INSEAD Jan '17
GMAT 1: 620 Q48 V27
GPA: 1.9
WE:Engineering (Energy)
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
69% (01:30) correct
31%
(01:28)
wrong
based on 139
sessions
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Not Attempted Yet
In the xy–coordinate plane, a line segment is drawn to join the points A (2, 1) and C(4, 3). If point B lies on line segment AC, is AB = BC?
(1) The x-coordinate of point B is 3
(2) The y-coordinate of point B is 2
(1) The x-coordinate of point B is 3
(2) The y-coordinate of point B is 2
Posts: 4,475
robu
Dear robu,
I'm happy to respond.
I'm curious about the source. This feels not so much like a real GMAT question, but more like a review question from a review book about introductory coordinate geometry problems. This is about seven notches easier than an actual GMAT question. Once a line is specified, then obviously specifying either the x- or y-coordinate of the point will specify the exact point on the line, which will full establish whether the point is the midpoint.
Also, here's a diagram. The fact that this line has a slope of one and involves three consecutive lattice points is further evidence of how simplistic this question is:
Attachment:
midpoint diagram.JPG [ 18.05 KiB | Viewed 4874 times ]
Everything is significant. Answer = (D).
For coordinate geometry questions that are significantly more test-like, see:
Challenging Coordinate Geometry Practice Questions
Mike
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Mike McGarry
Magoosh Test Prep
Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
Magoosh Test Prep
Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
Posts: 2
In the xy–coordinate plane, a line segment is drawn to join the points A (2, 1) and C(4, 3). If point B lies on line segment AC, is AB = BC?
(1) The x-coordinate of point B is 3
(2) The y-coordinate of point B is 2
(1) The x-coordinate of point B is 3
(2) The y-coordinate of point B is 2
Attachments
PQS656S.png [ 9.74 KiB | Viewed 4666 times ]
niteshwaghray
Easy if you draw/visualise:
We know that B is on AC.
(1) fixes x-coordinate of point B (on blue line). B must be on the intersection of AC (red segment) and blue line. So, B is fixed. We can find it's y-coordinate and answer whether AB = BC. Sufficient.
(1) fixes y-coordinate of point B (on green line). B must be on the intersection of AC (red segment) and geen line. So, B is fixed. We can find it's x-coordinate and answer whether AB = BC. Sufficient.
Answer: D.
Attachment:
Untitled.png [ 10.04 KiB | Viewed 4430 times ]
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