JEE Advanced Mathematics question
There are three coplanar parallel lines. If any points are taken on each of the lines, the maximum number of triangles with vertices at these points is
Answer: (C)
Solution
"Maximum" means no three of the chosen points are collinear except those lying on the same given line. Three points that are not all on one line form a triangle.
*Case 1 — one vertex on each line:* .
*Case 2 — two vertices on one line, the third on one of the other two
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