Introduction to Three Dimensional Geometry Class 11 MCQs Questions with Answers

1. 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

2. 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

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

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

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

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

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

8. 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 =

9. 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

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

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

12. 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

13. 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

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

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