Q. 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 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Correct Answer: (b) 2 only
Question from UPSC Prelims 2020 CSAT Paper
Explanation :
Minimum number & maximum of points of intersection of a square and circle
Statement 1 is incorrect. The minimum number of points of intersection between a square and a circle can be 0 if the circle is entirely inside or outside the square.
Statement 2 is correct. The maximum number of points of intersection between a square and a circle is 8. This can happen when the circle passes through all four corners of the square and intersects each side once.
So only statement 2 is correct. Therefore, the correct answer is indeed (b) 2 only.
