question_answer

Let A (1, 0), B (6, 2) and \[C\left( \frac{3}{2},6 \right)\] be the vertices of a triangle ABC. If P is a point inside the triangle ABC such that the triangles APC, APB and BPC have equal areas, then the length of the line segment PQ, where Q is the point \[\left( -\frac{7}{6},-\frac{1}{3} \right),\] is _________.         [JEE MAIN Held on 07-01-2020 Morning]

Answer:

05