Question

If (a, b), (c, d) and (e, f) are the vertices of △ABC and △ denotes the area of △ABC, then |a c e; b d f; 1 1 1|² is equal to

If the area of a triangle with vertices (2, –6), (5, 4) and (k, 4) is 35 sq units, then k is

Using determinants, find the area of △PQR with vertices P(3, 1), Q(9, 3) and R(5, 7). Also, find the equation of line PQ using determinants.

There is a triangular park in the society. The park is divided into two sections as shown in the figure. In the region OAC, children are allowed to play games like cricket, football, while in the region AOB, activities which involve running are not allowed. The vertices of the triangular park ABC are A(0, 4), B(−2, 0) and C(3, 0).