# 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 :**

## Number of points of intersection

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.