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Point A is located as shown above in the figure. There is another poin
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29 Aug 2023, 03:08
29 Aug 2023, 03:08
Expert Reply
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80% (01:00) correct
20% (02:10) wrong based on 10 sessions
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Point A is located as shown above in the figure. There is another point B in the xy-plane(not shown in the figure) such that x-axis is the perpendicular bisector of line segment AB. The co-ordinates of B are?
A. (4, 3)
B. (3, 4)
C. (–4, 3)
D. (4, –3)
E. (3, –4)
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Re: Point A is located as shown above in the figure. There is another poin
[#permalink]
18 Sep 2023, 03:47
18 Sep 2023, 03:47
Expert Reply
OE
According to the question, we need to find coordinates of B and it is given that, 𝑥 -
axis is perpendicular bisector of AB.
𝑥-axis is perpendicular to AB. Hence, B is in straight line with A and AB is at 90o
to 𝑥 -
axis.
𝑥-axis is bisector of AB, which means distance of both the points A and B are
equidistant from 𝑥-axis.
Therefore, we can conclude B is the mirror image of A along 𝑥-axis.
Hence, we will change the sign of 𝑦-coordinate and 𝑥-coordinate will remain the
same and the coordinates of point B are (4, -3)
Ans. (D)
According to the question, we need to find coordinates of B and it is given that, 𝑥 -
axis is perpendicular bisector of AB.
𝑥-axis is perpendicular to AB. Hence, B is in straight line with A and AB is at 90o
to 𝑥 -
axis.
𝑥-axis is bisector of AB, which means distance of both the points A and B are
equidistant from 𝑥-axis.
Therefore, we can conclude B is the mirror image of A along 𝑥-axis.
Hence, we will change the sign of 𝑦-coordinate and 𝑥-coordinate will remain the
same and the coordinates of point B are (4, -3)
Ans. (D)
gmatclubot
Re: Point A is located as shown above in the figure. There is another poin [#permalink]
18 Sep 2023, 03:47
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