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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
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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.
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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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!
