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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:



Question ID - 56763 | SaraNextGen Top Answer

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
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Answer Key / Explanation : (36) -

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