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?

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).

Consider the following statements in respect of such parabolas:

1. One of the parabolas passes through the origin (0, 0).

2. The focus of one of the parabolas lies at (-2, 0).

Which of the above statements is/are correct?

The locus of a point P(x, y, z) which moves in such a way that z = 7 is a