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Bunuel
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In the rectangular coordinate system above, the line x=0 is the perpen 11 May 2021, 08:15
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45% (medium)

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52% (01:01) correct 48% (01:04) wrong based on 196 sessions

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In the rectangular coordinate system above, the line x=0 is the perpendicular bisector of line segment AB (not shown). If the coordinates of point A are (4,−1), what are the coordinates of point B?

A. (4,1)
B. (−4,1)
C. (−4,−1)
D. (−1,4)
E. (0,−1)

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Bunuel
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In the rectangular coordinate system above, the line x=0 is the perpen 16 May 2021, 05:15
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Bunuel

In the rectangular coordinate system above, the line x=0 is the perpendicular bisector of line segment AB (not shown). If the coordinates of point A are (4,−1), what are the coordinates of point B?

A. (4,1)
B. (−4,1)
C. (−4,−1)
D. (−1,4)
E. (0,−1)

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1.png
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MarmikUpadhyay
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In the rectangular coordinate system above, the line x=0 is the perpen 12 May 2021, 22:12
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Bunuel

In the rectangular coordinate system above, the line x=0 is the perpendicular bisector of line segment AB (not shown). If the coordinates of point A are (4,−1), what are the coordinates of point B?

A. (4,1)
B. (−4,1)
C. (−4,−1)
D. (−1,4)
E. (0,−1)

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Given: line x=0 is the perpendicular bisector of line segment AB, coordinates of point A are (4,−1).
coordinates of point B =?

Y axis is the same line as x = 0
=> Point B will be a mirror image of Point A with respect to Y-axis.
=> Coordinates of Point B = (-4,-1) [y coordinate remains same, x coordinate is negated]

So, correct answer is option C.
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In the rectangular coordinate system above, the line x=0 is the perpen 24 May 2021, 21:29
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Given
    • x=0 is the perpendicular bisector of line segment AB.
    • Coordinates of point A are (4,−1).

To find
    • Coordinates of point B.

Approach and Working out:
    • x is the perpendicular bisector of line segment AB.
      o Hence, x is the midpoint of AB.

Let coordinates of point B= (a, -1)
    • Y coordinate of point B will be same as y coordinates of point A as AB is perpendicular to x=0.

Coordinates of x= (0,-1)
    • 0 = \(\frac{4 +a}{2 }\)
      o a = -4

coordinates of point B= (-4, -1)

Hence, option C is the correct answer.
Correct Answer: Option C
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In the rectangular coordinate system above, the line x=0 is the perpen 19 Apr 2025, 03:05
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Bunuel, would this topic still be tested? I understand Coordinate Geo is out, but algebra is still tested with some Geo concepts. Thanks!
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Bunuel
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In the rectangular coordinate system above, the line x=0 is the perpen 19 Apr 2025, 03:08
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orangebicycle5
Bunuel, would this topic still be tested? I understand Coordinate Geo is out, but algebra is still tested with some Geo concepts. Thanks!
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Based on the questions we see in the Official Guide and GMAT Prep, I doubt this type of question is still relevant.
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