Previous Year Paper
CAT-2002-Previous Years Paper
Ten straight lines, no two of which are parallel and no three of which pass through any common point, are drawn on a plane. The total number of regions (including finite and infinite regions) into which the plane would be divided by the lines is
Number of regions where n = Number of lines, i.e., for 0 line we have region = 1.
For 1 line we have region = 2.
If can be shown as:
Therefore, for n = 10, it is 2 + 1= 56