Q)
(chatquestion)...Exercise 13.1
I. Very Short Answer Type Questions :
1. The distance between points (1,-1. 3) and (-2,3,-2) will be
(a) 50
by 5v2
(c) 5
(d) 2/5
2. Thetatio in which X-Z plane divides the line joining two points (-1, 4,3) and (2,-1-5) will
PaD:2
II Solve the following :
1. Find the distance between two points (3, 4, 5) and (-1, 3,-3).
(b) 1:4
(c) 2:1
(U.P. Diploma 2007, 2012)
2. Show that the distances of point (1, 2, 3) from the coordinates axes are v13, v10, v5.A
3. Show that the points (1, 1, 1), (-2, 4, 1), (-1, 5, 5) and (2, 2, 5) are the vertices of a square.
Find the coordinates of the point which divides the points (1, 2, 3) and (3,-5, 6) in the ratio 3:-.
" points P(3, 2,- 4), Q (9, 8, – 10), R (5, 4, – 6) are collinear, then find the ratio in which k
divides PQ.
6. Point P is situated on the straight line joining the points (7, 2, 1) and (10, 5, 7). If y-coordinate of
P is 4, then find its other coordinates.
* Show that points (0, 7, 10), (-1, 6, 6) and (-4,9, 6) form a right-angled triangle.
(U.P. Diploma 2005)...(2?)
...
