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07 Nov 2018, 02:04
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E
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In the figure below, AB and BC are parallel to the X-axis and Y-axis, respectively. What is the sum of the coordinates of point B?
(1) The Y-coordinate of point C is 2.
(2) The X-coordinate of point A is −8.
Attachment:
2018-11-07_1303.png [ 14.81 KiB | Viewed 2912 times ]
07 Nov 2018, 13:56
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When lines are parallel to the coördinate plane, they share a x or y coördinate with every other point on that line (as shown by using the same letter of the alphabet). It is represented as (x, y).
All points on line AB share a y coördinate
All points on line BC share an x coördinate
We need to know both the x and y (c and b) to determine the sum.
1) This is the y for C. This is not shared with point B, only the x is. It doesn't give any information for point A either
Insufficient
2) This is the x for A. This is not shared with point B, only the y is. It doesn't give any information for point C either.
Insufficient.
(-8, b) (c,b) (c, 2)
We don't know B. We don't know C. We don't know any other information about the lines.
E
All points on line AB share a y coördinate
All points on line BC share an x coördinate
We need to know both the x and y (c and b) to determine the sum.
1) This is the y for C. This is not shared with point B, only the x is. It doesn't give any information for point A either
Insufficient
2) This is the x for A. This is not shared with point B, only the y is. It doesn't give any information for point C either.
Insufficient.
(-8, b) (c,b) (c, 2)
We don't know B. We don't know C. We don't know any other information about the lines.
E
07 Nov 2018, 20:53
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Hi,
When a line is parallel to X-axis, then the y co-ordinates of the points in the line is constant.
Similarly,
When a line is parallel to Y-axis, then the x co-ordinates of the points in the line is constant.
Given,
AB is parallel to X-axis,
So, points A and B share the same y-coordinate.
And given, BC is parallel to Y-axis,
So, points B and C share the same x-coordinate.
Question:
Sum of the co-ordinate of point B.
i.e., Value of “b+c” ?
Statement I is insufficient:
The Y-coordinate of point C is 2.
Question is about, “point B”
Point B and C share the same x-coordinate.
So knowing the y-coordinate doesn’t help.
So insufficient.
Statement II is insufficient:
The X-coordinate of point A is −8.
Similar to statement I,
Question is about, “point B”
Point A and B share the same y-coordinate.
So knowing the x-coordinate doesn’t help.
So insufficient.
Together also insufficient.
If this was reverse, that is if it is given point “C” x-coordinate and point “A” y-co-ordinate then it would have been together sufficient.
But that’s not the case here,
So the answer is E.
Hope it helps.
When a line is parallel to X-axis, then the y co-ordinates of the points in the line is constant.
Similarly,
When a line is parallel to Y-axis, then the x co-ordinates of the points in the line is constant.
Given,
AB is parallel to X-axis,
So, points A and B share the same y-coordinate.
And given, BC is parallel to Y-axis,
So, points B and C share the same x-coordinate.
Question:
Sum of the co-ordinate of point B.
i.e., Value of “b+c” ?
Statement I is insufficient:
The Y-coordinate of point C is 2.
Question is about, “point B”
Point B and C share the same x-coordinate.
So knowing the y-coordinate doesn’t help.
So insufficient.
Statement II is insufficient:
The X-coordinate of point A is −8.
Similar to statement I,
Question is about, “point B”
Point A and B share the same y-coordinate.
So knowing the x-coordinate doesn’t help.
So insufficient.
Together also insufficient.
If this was reverse, that is if it is given point “C” x-coordinate and point “A” y-co-ordinate then it would have been together sufficient.
But that’s not the case here,
So the answer is E.
Hope it helps.
