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In the rectangular coordinate system x = y is perpendicular bisector
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29 Aug 2023, 03:14
29 Aug 2023, 03:14
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In the rectangular coordinate system x = –y is perpendicular bisector of the line segment PQ, where coordinates of P are (–7, 8)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Quantity A |
Quantity B |
x-coordinate of Q |
y-coordinates of Q |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Post A Detailed Correct Solution For The Above Questions And Get Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) GRE - Quant Daily Topic-wise Challenge
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
\(\Longrightarrow\) ALL the GRE Quant and Verbal Practice Directories in ONE place (2023)
\(\Longrightarrow\) Best GRE Test Books of 2023
Re: In the rectangular coordinate system x = y is perpendicular bisector
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05 Sep 2023, 15:07
05 Sep 2023, 15:07
1
x = -y is the same as y = -x
From here, you can graph the line and the point. Since point P or (-7,8) is above the line, you know that Q has to be below the y = -x line since x = -y is a perpendicular bisector to line PQ. Since you know the slope to x = -y is -1, the slope for the perpendicular line has to be 1.
Going back to the previous point, point P is above the x = -y line, so point Q has to be below the line. If you take a slope of 1 to the left of point P, Point Q is P(-8, 7). From this you know the x coordinate is less than the y-coordinate resulting in Choice B to be the answer.
From here, you can graph the line and the point. Since point P or (-7,8) is above the line, you know that Q has to be below the y = -x line since x = -y is a perpendicular bisector to line PQ. Since you know the slope to x = -y is -1, the slope for the perpendicular line has to be 1.
Going back to the previous point, point P is above the x = -y line, so point Q has to be below the line. If you take a slope of 1 to the left of point P, Point Q is P(-8, 7). From this you know the x coordinate is less than the y-coordinate resulting in Choice B to be the answer.
Re: In the rectangular coordinate system x = y is perpendicular bisector
[#permalink]
24 Sep 2023, 09:25
24 Sep 2023, 09:25
Can you please explain
