Find k if the line passing through points P(-12,-3) and Q(4, k)has slope .

Find the coordinates of the circumcentre of a triangle whose vertices are (-3,1),(0,-2) and (1,3)

In the following examples, can the segment joining the given points form atriangle? If triangle is formed, state the type of the triangle considering sides ofthe triangle.

(1) L(6,4), M(-5,-3) , N(-6,8)

(2) P(-2,-6), Q(-4,-2), R(-5,0)

(3)

Show that the line joining the points A(4, 8) and B(5, 5) is parallel to the linejoining the points C(2,4) and D(1,7).

Show that points P(1,-2), Q(5,2), R(3,-1), S(-1,-5) are the vertices of aparallelogram.