JEE Main 2019 Mathematics question
Let S be the set of all triangles 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:
Answer: (B)
Solution
|ab| = 100: 9 positive divisor pairs × 4 sign choices = 36.