CLASS_11_MATHS_SOLUTIONS_NCERT

Class XI Chapter 12 – Introduction to Three Dimensional Geometry Maths
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(ii) Distance between points (–1, 3, –4) and (1, –3, 4)
1 1 3 3 4 4
2 2 2
2 6 8
2 2 2
436 64 104 2 26
(iii) Distance between points (2, –1, 3) and (–2, 1, 3)
2 2 1 1 3 3
2 2 2
4 2 0
16 4
20
2 5
2 2 2
Question 2:
Show that the points (-2, 3, 5), (1, 2, 3) and (7, 0, -1) are collinear.
Solution 2:
Let points (–2, 3, 5), (1, 2, 3), and (7, 0, –1) be denoted by P, Q, and R respectively.
Points P, Q, and R are collinear if they lie on a line.
3 1 2
2 2 2
PQ 1 2 23 35
2 2 2
91
4
14
6 2 4
2 2 2
QR 71 02 1
3
2 2 2
36 416
56
2 14
9 3 6
2 2 2
PR 72 03 1
5
2 2 2
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