Direction: Consider the following for the next two (02) items that follow.

The coordinates of three consecutive vertices of a parallelogram ABCD are A(1, 3), B(-1, 2) and C(3, 5).

What is the area of the parallelogram?

Direction: Consider the following for the next two (02) items that follow.

The equations of the sides AB, BC and CA of a triangle ABC are x - 2 = 0, y + 1 = 0 and x + 2y - 4 = 0 respectively.

What is the equation of the altitude through B on AC?

Direction: Consider the following for the next two (02) items that follow.

The equations of the sides AB, BC and CA of a triangle ABC are x - 2 = 0, y + 1 = 0 and x + 2y - 4 = 0 respectively.

What are the coordinates of circumcentre of the triangle?

Direction: Consider the following for the next two (02) items that follow.

The two ends of the latus rectum of a parabola are (-2, 4) and (-2, -4).

What is the maximum number of parabolas that can be drawn through these two points as end points of latus rectum?