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QOTD # 6 Coordinate Geometry

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QOTD # 6 Coordinate Geometry [#permalink]  13 Sep 2016, 02:07
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Question Stats:

28% (00:50) correct 71% (00:41) wrong based on 21 sessions

 Quantity A Quantity B c d

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Practice Questions
Question: 6
Page: 204
[Reveal] Spoiler: OA

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Re: QOTD # 6 Coordinate Geometry [#permalink]  13 Sep 2016, 02:09
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Explanation

Note that if you draw a horizontal line segment from the point (c, d) to the y-axis, you form a 44°- 46°-90° right triangle, with a horizontal leg of length |c| and a vertical leg of length |d|, as shown in the figure below.

In the triangle, the horizontal leg is opposite the 44° angle and the vertical leg is opposite the 46° angle. Since the 44° angle is smaller than the 46° angle, the length of the horizontal leg is less than the length of the vertical leg; that is, |c| < |d |. Since c and d are both negative, it follows that c > d.

The correct answer is Choice A.
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Re: QOTD # 6 Coordinate Geometry [#permalink]  18 Sep 2016, 04:25
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This a great question!
The main concept that it tests is covered in the following video (starting at 1:02)

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Re: QOTD # 6 Coordinate Geometry [#permalink]  04 Sep 2017, 07:32
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Is it right to think about the fact that if the angle would have been 45°, then the line would have been the one with slope 1, thus passing through all the points with same x and y-coordinates? Then, since the angle is lower than 45°, it means that the slope of the line is greater than 1 and thus the x-coordinate is lower than the y, which stays the same. Then, the answer is A!
Re: QOTD # 6 Coordinate Geometry   [#permalink] 04 Sep 2017, 07:32
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