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

Consider the following statements:

1. A-line in space can have infinitely many direction ratios.

2. It is possible for certain lines that the sum of the squares of direction cosines can be equal to the sum of its direction cosines.

Which of the above statements is/are correct?