**Question:**

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

Correct Option: 3

JEE Main Previous Year Jan. 09, 2019 (II)

**Solution:**