Consider the following for the next two (2) items that follow :

Let the plane $\frac{2x}{k} + \frac{2y}{3} + \frac{z}{3} = 2 $ pass through the point (2, 3, -6).

If p, q and r are the intercepts made by the plane on the coordinate axes respectively, then what is (p + q + r) equal to ?

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?

The xy-plane divides the line segment joining the points (-1, 3, 4) and (2, -5, 6)