Question

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

• A. $51$
• B. $50$
• C. $49$
• D. None of these

Answer 1

Answer: (B)

$50$

$4$ lines intersect each other in $={{}^{4}C}_2=6$ points. $4$ circles intersect in $={{}^{4}P}_2=12$ ways

Each line cuts $4$ circles in $8$ points. So $4$ lines cut $4$ circles in $32$ points.

So required number of points$=6+12+32=50$