Let S be the set of all triangle in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements in the set S is:

Let S be the set of all triangle in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements in the set S is:

1 Answer

127 votes

Let A( ,0) and B(0, )

Be the vectors of the given triangle AOB

=100

Number of triangles

4 (number of divisiors of 100)

=4 9=36

127 votes

127