Page 1 - WORKSHEETS

CHAPTER-14 THREE DIMENSIONAL GEOMETRY

WORKSHEET

1. The ratio in which the line joining (2,4,5) and (3,5,-9) is divided by YZ plane is
(a)2:3 (b) 3:2 (c) -2:3 (d) 4:-3

2. The distance between the points (-2,4,1) and (1,2,-5) is
(a)3 units (b)5 units (c) 7 units (d) 9 units

3. Let (3,4,-1) and (-1,2,3) be the end points of a diameter of a sphere. Then the radius of

sphere is
(a) 2 (b) 6 (c) 7 (d) 7

4. A point is in the XZ-plane. What can you say about its y-coordinate?

5. Verify that (0, 7, –10), (1, 6, – 6) and (4, 9, – 6) are the vertices of an isosceles triangle.

6. Find the equation of the set of points P, the sum of whose distances from A (4, 0, 0) and
B (– 4, 0, 0) is equal to 10.

7. Given that P (3, 2, – 4), Q (5, 4, – 6) and R (9, 8, –10) are collinear. Find the ratio in which
Q divides PR.

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8. Using section formula, show that the points A (2, –3, 4), B (–1, 2, 1) and C( 0, , 2) are
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collinear.

9. Three vertices of a parallelogram ABCD are A(3, – 1, 2), B (1, 2, – 4) and C (– 1, 1, 2). Find
the coordinates of the fourth vertex.

10. Find the lengths of the medians of the triangle with vertices A (0, 0, 6), B (0,4, 0) and

(6, 0, 0).