Introduction to Three Dimensional Geometry Class 11 MCQs Questions with Answers

1. The points on the y- axis which are at a distance of 3 units from the point (2, 3, -1) is

2. The coordinates of the point where the line through (5, 1, 6) and (3, 4, 1) crosses the YZ plane is

3. The distance of the point (3, 4, 5) from X- axis is 

4. If P(x, y, z) is a point on the line segment joining Q(2, 2, 4) and R(3, 5, 6) such that the projections of OP on the axes are 13/5, 19/5, 26/5 respectively, then P divides QR in the ration

5. The angle between the vectors with direction ratios are 4, -3, 5 and 3, 4, 5 is

6. The image of the point P(1, 3, 4) in the plane 2x – y + z = 0 is

7. The locus of a point P which moves such that PA² – PB2 = 2k² where A and B are (3, 4, 5) and (–1, 3, –7) respectively is

8. In a three dimensional space, the equation 3x – 4y = 0 represents

9. The equation of the plane passing through the point (1, – 3, –2) and perpendicular to planes x + 2y + 2z = 5 and 3x + 3y + 2z = 8, is

10. The locus represented by xy + yz = 0 is

11. The equation xy = 0 in three dimensional space represents

12. If α, β, γ are the angles made by a half ray of a line respectively with positive directions of X-axis Y-axis and Z-axis, then sin² α + sin² β + sin² γ =

13. A vector r is equally inclined with the coordinate axes. If the tip of r is in the positive octant and |r| = 6, then r is

14. A and B be the points (3, 4, 5) and (-1, -3, -7), respectively, the equation of the set of points P such that PA² + PB² = k², where k is a constant will

15. The maximum distance between points (3sin θ, 0, 0) and (4cos θ, 0, 0) is