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(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?)

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