Question

The coordinates of a point of the line x - 1/2 = y + 1/-3 = z at a distance 4√14  from the point (1, –1, 0) nearer the origin are

(a)   (6, - 12,4)

(b)  (8√14 + 1), -12√14 - 1,4√14

(c)  (–7, 11, –4)

(d)  (8√14 + 1), -12√14 - 1,a4√14)

Answer 1

Correct option   (c) (–7, 11, –4)

Explanation:

The coordinates of any point on the given line are (2r + 1, –3r – 1, r) The distance of this point from the point (1, –1, 0) is given to be 4√14

So the coordinates of the required point are (9, –13, 4) or (–7, 11, – 4)