CBSE Class 11 Introduction to 3D Worksheet A

Download free printable worksheets for your students. All worksheets are in pdf format with the answers on the next page. Please give the questions to the child and then compare answers with the suggested answers provided by us. Free worksheets with questions and answers are available for all subjects. Use the worksheets to get better marks in tests and exams.

1. Name the octants in which the following lie. (5,2,3)

2. Name the octants in which the following lie. (-5,4,3)

3. Find the image of (-2,3,4) in the y z plane

4. Find the image of (5,2,-7) in the xy plane

5. 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

6. Determine the points in xy plane which is equidistant from these point A (2,0,3) B(0,3,2) and C(0,0,1)

7. Find the locus of the point which is equidistant from the point A(0,2,3) and B(2,-2,1)

8. Show that the points A(0,1,2) B(2,-1,3) and C(1,-3,1) are vertices of an isosceles right angled triangle.

9. Using section formula, prove that the three points A(-2,3,5), B(1,2,3), and C(7,0,-1) are collinear.

10. Prove that the lines joining the vertices of a tetrahedron to the centroids of the opposite faces are concurrent.

11. The mid points of the sides of a triangle are (1,5,-1), (0,4,-2) and (2,3,4). Find its vertices.       

Click on link below to download CBSE Class 11 Introduction to 3D Worksheet A.