Question

How many straight lines can be formed from $12$ points in a plane out of which $6$ are collinear?

• A. $52,200$
• B. $50,200$
• C. $52,250$
• D. $45,300$

Answer 1

The correct option is A $52,200$

$12$ points are in plane , out of which $6$ are collinear.

1. Choose $2$ points from $6$ non collinear points.

2. Choose any $1$ point from set of collinear points and $1$ from the set of non -collinear points.

3 . There would be $1$ line passing through $6$ collinear points

${=}^6{C}_1{\times }^6{C}_1{+}^6{C}_2+1=52$