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On the x-y coordinate grid, are points A and B equidistant from the origin?
(1) |x| = |y| for point A and |x| = |y| for point B
(2) |x|, |y| of point A = |x|, |y| of point B
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- d)EACH statement ALONE is sufficient.
- e)Statements (1) and (2) TOGETHER are NOT sufficient.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
On the x-y coordinate grid, are points A and B equidistant from the or...
Steps 1 & 2: Understand Question and Draw Inferences
To find the distance from the origin, you need the absolute values of the (x, y) coordinates of points A and B.
To compare the distances of points A and B, you can use the ratios of the (x, y) values of these points.
Step 3: Analyze Statement 1
(1) |x| = |y| for point A and |x| = |y| for point B
With statement 1, the |x|, |y| values of points A and B could be the same, or they could be different.
For instance, A could be (3, -3) and B could be (3, 3) or (4, -4).
Statement (1) is not sufficient.
Step 4: Analyze Statement 2
(2) |x|, |y| of point A = |x|, |y| of point B
This tells you that points A and B are the same distance from the origin. You don’t know which quadrant the points are in, but you can still answer the question.
Statement (2) is sufficient.
Step 5: Analyze Both Statements Together (if needed)
You get a unique answer in step 4, so this step is not required
Answer: Option (B)
Most Upvoted Answer
On the x-y coordinate grid, are points A and B equidistant from the or...
Given information:
- Points A and B are represented on the x-y coordinate grid.
- We need to determine if points A and B are equidistant from the origin.
Statement 1: |x| = |y| for point A and |x| = |y| for point B
- This means that the absolute values of the x-coordinates and y-coordinates of both points are equal.
- We can visualize this as the points lying on the lines y = x and y = -x.
- However, this information alone does not provide the exact coordinates of points A and B, so we cannot determine their distance from the origin.
Statement 2: |x|, |y| of point A = |x|, |y| of point B
- This statement tells us that the absolute values of the x-coordinates and y-coordinates of both points are equal.
- Similar to statement 1, this information alone does not provide the exact coordinates of points A and B, so we cannot determine their distance from the origin.
Combining both statements:
- Both statements provide the same information, that the absolute values of the x-coordinates and y-coordinates of both points are equal.
- However, since we still do not know the exact coordinates of points A and B, we cannot determine their distance from the origin.
Conclusion:
- Neither statement alone is sufficient to determine if points A and B are equidistant from the origin.
- Therefore, the correct answer is option B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- Points A and B are represented on the x-y coordinate grid.
- We need to determine if points A and B are equidistant from the origin.
Statement 1: |x| = |y| for point A and |x| = |y| for point B
- This means that the absolute values of the x-coordinates and y-coordinates of both points are equal.
- We can visualize this as the points lying on the lines y = x and y = -x.
- However, this information alone does not provide the exact coordinates of points A and B, so we cannot determine their distance from the origin.
Statement 2: |x|, |y| of point A = |x|, |y| of point B
- This statement tells us that the absolute values of the x-coordinates and y-coordinates of both points are equal.
- Similar to statement 1, this information alone does not provide the exact coordinates of points A and B, so we cannot determine their distance from the origin.
Combining both statements:
- Both statements provide the same information, that the absolute values of the x-coordinates and y-coordinates of both points are equal.
- However, since we still do not know the exact coordinates of points A and B, we cannot determine their distance from the origin.
Conclusion:
- Neither statement alone is sufficient to determine if points A and B are equidistant from the origin.
- Therefore, the correct answer is option B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
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On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer?
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On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer?.
On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer?.
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On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer?, a detailed solution for On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice On the x-y coordinate grid, are points A and B equidistant from the origin?(1) |x| = |y| for point A and |x| = |y| for point B(2) |x|, |y| of point A = |x|, |y| of point Ba)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.c)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.d)EACH statement ALONE is sufficient.e)Statements (1) and (2) TOGETHER are NOT sufficient.Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GMAT tests.
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