Introduction to Three Dimensional Geometry Class 11 MCQs Questions with Answers

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

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

3. 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 =

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

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

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

7. 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

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

9. 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

10. 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

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

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

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 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

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