UPSC Exam > UPSC Questions > Consider the following statements:1. The mini...
Start Learning for Free
Consider the following statements:
1. The minimum number of points of intersection of a square and a circle is 2.
2. The maximum number of points of intersection of a square and a circle is 8.
2. The maximum number of points of intersection of a square and a circle is 8.
Which of the above statements is/are correct?
- a)1 only
- b)2 only
- c)Both 1 and 2
- d)Neither 1 nor 2
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Consider the following statements:1. The minimum number of points of i...
Solution:
When a square and a circle intersect, there can be a minimum of 0 points of intersection and a maximum of 8 points of intersection. Let's explain this in detail.
Minimum number of points of intersection:
1. When a square and a circle do not intersect at all, the number of points of intersection is 0.
2. When a circle is entirely inside the square or the square is entirely inside the circle, there are no points of intersection.
3. When a circle touches the square from the outside or the inside, there is only one point of intersection.
4. When a circle passes through the corners of the square, there are two points of intersection.
Therefore, the minimum number of points of intersection is 0 when there is no intersection at all, and 2 when the circle passes through the corners of the square.
Maximum number of points of intersection:
1. When a circle passes through the corners of the square, there are two points of intersection.
2. When a circle intersects the sides of the square twice, there are a total of 8 points of intersection.
Therefore, the maximum number of points of intersection is 8 when the circle intersects the sides of the square twice.
Conclusion:
Hence, statement 1 is incorrect as the minimum number of points of intersection is 0, not 2. Statement 2 is correct as the maximum number of points of intersection is 8. Therefore, the correct answer is option B.
When a square and a circle intersect, there can be a minimum of 0 points of intersection and a maximum of 8 points of intersection. Let's explain this in detail.
Minimum number of points of intersection:
1. When a square and a circle do not intersect at all, the number of points of intersection is 0.
2. When a circle is entirely inside the square or the square is entirely inside the circle, there are no points of intersection.
3. When a circle touches the square from the outside or the inside, there is only one point of intersection.
4. When a circle passes through the corners of the square, there are two points of intersection.
Therefore, the minimum number of points of intersection is 0 when there is no intersection at all, and 2 when the circle passes through the corners of the square.
Maximum number of points of intersection:
1. When a circle passes through the corners of the square, there are two points of intersection.
2. When a circle intersects the sides of the square twice, there are a total of 8 points of intersection.
Therefore, the maximum number of points of intersection is 8 when the circle intersects the sides of the square twice.
Conclusion:
Hence, statement 1 is incorrect as the minimum number of points of intersection is 0, not 2. Statement 2 is correct as the maximum number of points of intersection is 8. Therefore, the correct answer is option B.
Free Test
FREE
| Start Free Test |
Community Answer
Consider the following statements:1. The minimum number of points of i...
Ans is no c) Both 1 and 2
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer?
Question Description
Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer?.
Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer?.
Solutions for Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider the following statements:1. The minimum number of points of intersection of a square and a circle is 2.2. The maximum number of points of intersection of a square and a circle is 8.Which of the above statements is/are correct?a)1 onlyb)2 onlyc)Both 1 and 2d)Neither 1 nor 2Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup