Tuesday, 22 November 2011

Geometry-17 (FMS-2010)

Six straight lines are drawn in a plane with no two parallel and no three concurrent. The number of regions in to which they divide the plane is:
 (1)16              (2)20               (3)22               (4)24
Solution follows here:
Funda here is:
Maximum number of regions can be achieved when the lines are drawn such that no two are parallel and no three are concurrent
Maximum number of regions that ‘n’ straight lines can divide a plane = ∑n+1
The number of regions = ∑6+1 = (6*7)/2 + 1 = 21+1 = 22
Answer (3)

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