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01 Feb 2026, 10:45
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H: 14
V: 6
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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In the standard (x,y) coordinate plane, the graph of ∣3x∣+∣7y∣=21 is a parallelogram with 2 vertices on the x-axis and 2 vertices on the y-axis.
Let H and V be the lengths, in coordinate units, of the horizontal and vertical diagonals, respectively, of this parallelogram.
Select for H and for V values that are consistent with the given information.
Make only two selections, one in each column.
Let H and V be the lengths, in coordinate units, of the horizontal and vertical diagonals, respectively, of this parallelogram.
Select for H and for V values that are consistent with the given information.
Make only two selections, one in each column.
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| H | V | Answer |
| 4 | ||
| 6 | ||
| 8 | ||
| 10 | ||
| 14 | ||
| 20 |
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Official Answer
H: 14
V: 6
01 Feb 2026, 10:47
Kudos
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For mod, removing it means +/- sign
(+/- 3x) + (+/- 7y) = 21
Take x = 0 to give y (0,3) and (0,-3) thus distance 6
Similarly take y=0, give x (7,0) and (-7,0) using distance formula of co-ordinate geometry gives distance as 14
(+/- 3x) + (+/- 7y) = 21
Take x = 0 to give y (0,3) and (0,-3) thus distance 6
Similarly take y=0, give x (7,0) and (-7,0) using distance formula of co-ordinate geometry gives distance as 14
01 Feb 2026, 10:50
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Rickooreoisb
This question is discussed here: https://gmatclub.com/forum/in-the-stand ... 24078.html Hope it helps.
P.S. Before posting a question, please use the search box to check whether the question already exists on the forum.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Two-part Analysis (TPA) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
