The minimum number of points of intersection of a square and a circle is 2

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 circle is 8.

Which of the above statements is/are correct?

1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2

• Answer: The correct option is B
• Explanation:

  Considering statement 1:

  The minimum number of points of intersection of a square and a circle is 2.

  But there might be a case wherein the square is just touching the circle. So, minimum number of points of intersection of a square and a circle is 1. So, statement 1 is incorrect.

  Considering statement 2:

  The maximum number of points of intersection of a square and a circle is 8.

  A circle can only cross a straight line in two places. So, maximum points of intersection of a square and circle = 4 × 2 = 8

  So, statement 2 is correct.

• Exam Year: 2020