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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?
(1) The Equation of the first graph is x2 + y2 = 4
(2) The second graph has equation y = ax2 + 4 where a is a constant
(2) The second graph has equation y = ax2 + 4 where a is a constant
- 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
- 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 are needed
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
At how many points do the two graphs named as "First Graph" ...
To determine the number of points at which the two graphs intersect, we need to analyze each statement individually and then consider them together.
Statement (1): The equation of the first graph is x2 + y2 = 4.
This equation represents a circle centered at the origin (0, 0) with a radius of 2. The graph of this equation is a circle with its center at the origin and a radius of 2. However, this statement does not provide any information about the second graph, so it is not sufficient to determine the number of intersection points.
This equation represents a circle centered at the origin (0, 0) with a radius of 2. The graph of this equation is a circle with its center at the origin and a radius of 2. However, this statement does not provide any information about the second graph, so it is not sufficient to determine the number of intersection points.
Statement (2): The second graph has equation y = ax2 + 4, where a is a constant.
This equation represents a parabola that opens upward. The constant "a" determines the shape and orientation of the parabola. However, the statement does not provide any specific value for "a," so we cannot determine the exact shape of the parabola or its intersection points with the first graph. Therefore, statement (2) alone is not sufficient.
This equation represents a parabola that opens upward. The constant "a" determines the shape and orientation of the parabola. However, the statement does not provide any specific value for "a," so we cannot determine the exact shape of the parabola or its intersection points with the first graph. Therefore, statement (2) alone is not sufficient.
Considering both statements together:
When we combine the equations from both statements, we have a system of equations:
x2 + y2 = 4 (from statement 1)
y = ax2 + 4 (from statement 2)
When we combine the equations from both statements, we have a system of equations:
x2 + y2 = 4 (from statement 1)
y = ax2 + 4 (from statement 2)
However, this system of equations is not enough to determine the exact values of x and y or the number of intersection points. We have two equations with three variables (x, y, and a). Without additional information about the value of "a" or any other constraints, we cannot uniquely determine the number of intersection points.
Since neither statement alone nor the two statements together are sufficient to answer the question, the correct answer is (E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
Most Upvoted Answer
At how many points do the two graphs named as "First Graph" ...
To determine the number of points at which the two graphs intersect, we need to analyze each statement individually and then consider them together.
Statement (1): The equation of the first graph is x2 + y2 = 4.
This equation represents a circle centered at the origin (0, 0) with a radius of 2. The graph of this equation is a circle with its center at the origin and a radius of 2. However, this statement does not provide any information about the second graph, so it is not sufficient to determine the number of intersection points.
This equation represents a circle centered at the origin (0, 0) with a radius of 2. The graph of this equation is a circle with its center at the origin and a radius of 2. However, this statement does not provide any information about the second graph, so it is not sufficient to determine the number of intersection points.
Statement (2): The second graph has equation y = ax2 + 4, where a is a constant.
This equation represents a parabola that opens upward. The constant "a" determines the shape and orientation of the parabola. However, the statement does not provide any specific value for "a," so we cannot determine the exact shape of the parabola or its intersection points with the first graph. Therefore, statement (2) alone is not sufficient.
This equation represents a parabola that opens upward. The constant "a" determines the shape and orientation of the parabola. However, the statement does not provide any specific value for "a," so we cannot determine the exact shape of the parabola or its intersection points with the first graph. Therefore, statement (2) alone is not sufficient.
Considering both statements together:
When we combine the equations from both statements, we have a system of equations:
x2 + y2 = 4 (from statement 1)
y = ax2 + 4 (from statement 2)
When we combine the equations from both statements, we have a system of equations:
x2 + y2 = 4 (from statement 1)
y = ax2 + 4 (from statement 2)
However, this system of equations is not enough to determine the exact values of x and y or the number of intersection points. We have two equations with three variables (x, y, and a). Without additional information about the value of "a" or any other constraints, we cannot uniquely determine the number of intersection points.
Since neither statement alone nor the two statements together are sufficient to answer the question, the correct answer is (E) Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.
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At how many points do the two graphs named as "First Graph" ...
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?.
At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?.
Solutions for At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer?, a detailed solution for At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? has been provided alongside types of At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?(1) The Equation of the first graph is x2 + y2 = 4(2) The second graph has equation y = ax2 + 4 where a is a constanta)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'E'. Can you explain this answer? tests, examples and also practice GMAT tests.
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