Question

The maximum number of points into which 4 circles and 4 straight lines intersect, is

• A. 26
• B. 50
• C. 56
• D. 72

Hint:

For the maximum number of intersection points, use the formula based on the number of lines and circles.

Answer 1

The Correct Option is B

The maximum number of intersection points formed by \( m \) lines and \( n \) circles is given by the formula \( m \times n + \frac{m(m-1)}{2} + \frac{n(n-1)}{2} \).
Here, \( m = 4 \) and \( n = 4 \), so the total number of intersection points is \( 4 \times 4 + \frac{4(4-1)}{2} + \frac{4(4-1)}{2} = 50 \).