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Determine the equation of the circle passing through (-4,-2).
1. (1,-1) lies in the circle.
2. The center of the circle is the origin.
1. (1,-1) lies in the circle.
2. The center of the circle is the origin.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
- b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.
- c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question ask
- d)EACH statement ALONE is sufficient to answer the question asked.
- e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Determine the equation of the circle passing through (-4,-2).1. (1,-1)...
The circle passes through (-4,-2).
In statement 1, (1,-1) lies in the circle; since the statement does not specify if the point is the center, we cannot determine its radius and the center, hence, it is insufficient.
In statement 2, the center is the origin, using (-4,-2) the radius of the circle is √((-4 - 0)² + (-2 - 0)²) = √(16 + 4) = √20 units.
The equation is (x - 0)² + (y - 0)² = 20 ; x² + y² = 20. The statement is sufficient. Thus, Statement (2) ALONE is sufficient but statement (1) is not sufficient.
In statement 1, (1,-1) lies in the circle; since the statement does not specify if the point is the center, we cannot determine its radius and the center, hence, it is insufficient.
In statement 2, the center is the origin, using (-4,-2) the radius of the circle is √((-4 - 0)² + (-2 - 0)²) = √(16 + 4) = √20 units.
The equation is (x - 0)² + (y - 0)² = 20 ; x² + y² = 20. The statement is sufficient. Thus, Statement (2) ALONE is sufficient but statement (1) is not sufficient.
Most Upvoted Answer
Determine the equation of the circle passing through (-4,-2).1. (1,-1)...
Statement (2) alone is sufficient to answer the question asked.
Explanation:
For a circle passing through (-4,-2) and with the center at the origin, the equation of the circle can be written as:
(x - 0)^2 + (y - 0)^2 = r^2
where r is the radius of the circle.
Now, let's consider statement (1):
(1,-1) lies in the circle.
If we substitute this point in the equation of the circle, we get:
(1 - 0)^2 + (-1 - 0)^2 = r^2
which simplifies to:
2 = r^2
So, we know the value of r, but we still don't have the equation of the circle.
On the other hand, statement (2) tells us that the center of the circle is at the origin. This means that we can write the equation of the circle as:
x^2 + y^2 = r^2
where r is the radius of the circle that we found in statement (1).
Therefore, statement (2) alone is sufficient to answer the question asked, and the correct answer is option (B).
Explanation:
For a circle passing through (-4,-2) and with the center at the origin, the equation of the circle can be written as:
(x - 0)^2 + (y - 0)^2 = r^2
where r is the radius of the circle.
Now, let's consider statement (1):
(1,-1) lies in the circle.
If we substitute this point in the equation of the circle, we get:
(1 - 0)^2 + (-1 - 0)^2 = r^2
which simplifies to:
2 = r^2
So, we know the value of r, but we still don't have the equation of the circle.
On the other hand, statement (2) tells us that the center of the circle is at the origin. This means that we can write the equation of the circle as:
x^2 + y^2 = r^2
where r is the radius of the circle that we found in statement (1).
Therefore, statement (2) alone is sufficient to answer the question asked, and the correct answer is option (B).
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Determine the equation of the circle passing through (-4,-2).1. (1,-1) lies in the circle.2. The center of the circle is the origin.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.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 Determine the equation of the circle passing through (-4,-2).1. (1,-1) lies in the circle.2. The center of the circle is the origin.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.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 Determine the equation of the circle passing through (-4,-2).1. (1,-1) lies in the circle.2. The center of the circle is the origin.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?.
Determine the equation of the circle passing through (-4,-2).1. (1,-1) lies in the circle.2. The center of the circle is the origin.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.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 Determine the equation of the circle passing through (-4,-2).1. (1,-1) lies in the circle.2. The center of the circle is the origin.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.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 Determine the equation of the circle passing through (-4,-2).1. (1,-1) lies in the circle.2. The center of the circle is the origin.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Determine the equation of the circle passing through (-4,-2).1. (1,-1) lies in the circle.2. The center of the circle is the origin.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question askd)EACH statement ALONE is sufficient to answer the question asked.e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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