18. A ,B and C are three points with coordinates (-2,3,5), (1,2,3) and (7,0,-1).
Point B divides A and C in some ratio. A figure is drawn for given information. Based on this answer the following questions.
(i) The ratio in which B divides A and C is
(a) 1:2
(b) 2:1
(c) 3:5
(d) none of these
(ii) Points A,B and C
(a) collinear
(b) disjoint
(c) parallel
(d) none of these
(iii) If B is the mid point of A and C, the coordinates of B will be.
(a) (5,3,6)
(b) (5/2,3/2,-3)
(c) (9/2,3,4)
(d) none of these
(iv)Angle formed at point B is
(a)0°
(b) 180°
(c) can not be defined
(d) none of these
(v) The distance between
B and C is
(a) √56
(b) √58
(c)√53
(d) none of these
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