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:

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:

  1. 9

  2. 18

  3. 36

  4. 22

Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Mathematics Permutations And Combinations chapter.
JEE Main Previous Year Jan. 09, 2019 (II)

Solution:

Leave a Reply

Your email address will not be published. Required fields are marked *

error: Content is protected !!