## Maths Chapter 11 – Three-dimensional Geometry MCQ Question Answers for CUET 2024

1. The vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6) is:
a.
b.
c.
d.

2. The direction cosines of the y-axis are:
a.
b.
c.
d.

3. Question
a.
b.
c.
d.

4. The equations of y-axis in space are
a.
b.
c.
d.

5. Question
a.
b.
c.
d.

6. Question
a.
b.
c.
d.

7. Direction ratio of line joining (2, 3, 4) and (−1, −2, 1), are:
a.
b.
c.
d.

8. The reflection of the point (a, β, γ) in the xy-plane is
a.
b.
c.
d.

9. Question
a.
b.
c.
d.

10. Question
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b.
c.
d.

11.  How many lines through the origin make equal angles with the coordinate axis?
a.
b.
c.
d.

12. The plane x + y = 0
a.
b.
c.
d.

13. If 2x + 5y – 6z + 3 = 0 be the equation of the plane, then the equation of any plane parallel to the given plane is
a.
b.
c.
d.

14. The locus of xy + yz = 0 is
a.
b.
c.
d.

15. The direction ratios of the normal to the plane 7x + 4y – 2z + 5 = 0 are:
a.
b.
c.
d.

16. The line x = 1, y = 2 is
a.
b.
c.
d.

17. Question
a.
b.
c.
d.

18. Question
a.
b.
c.
d.

19. The equation of the plane through the origin and parallel to the plane 3x – 4y + 5z + 6 = 0
a.
b.
c.
d.

20. The equation of the plane through the point (0, -4, -6) and (-2, 9, 3) and perpendicular to the plane x – 4y – 2z = 8 is
a.
b.
c.
d.

21. Question
a.
b.
c.
d.

22. Question
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b.
c.
d.

23. Question
a.
b.
c.
d.

24. A line makes angle α, β, γ with x-axis, y-axis and z-axis respectively then cos 2α + cos 2β + cos 2γ is equal to
a.
b.
c.
d.

25. Question
a.
b.
c.
d.

26. The acute angle between the planes 2x – y+z = 6 and x+y+2z = 3 is
a.
b.
c.
d.

27. Question
a.
b.
c.
d.

28. The equation of the plane through point (1, 2, -3) which is parallel to the plane 3x- 5y + 2z = 11 is given by
a.
b.
c.
d.

29. Question
a.
b.
c.
d.

30. The area of the quadrilateral ABCD, where A(0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2, 6, 2) is equal to
a.
b.
c.
d.

31. Question
a.
b.
c.
d.

32. Question
a.
b.
c.
d.

33. The coordinates of the midpoints of the line segment joining the points (2, 3, 4) and (8, -3, 8) are
a.
b.
c.
d.

34. Question
a.
b.
c.
d.

35. The equation xy = 0 in three dimensional space is represented by
a.
b.
c.
d.

36. Question
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c.
d.

37. Question
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c.
d.

38. Question
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d.

39. Question
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d.

40. Find the equation of plane passing through the points P(1, 1, 1), Q(3, -1, 2), R(-3, 5, -4).
a.
b.
c.
d.

41. If a line makes angles α, β, γ with the axis then cos 2α + cos 2β + cos 2γ =
a.
b.
c.
d.

42. The direction ratios of the line of intersection of the planes 3x + 2y – z = 5 and x – y + 2z = 3 are
a.
b.
c.
d.

43. Question
a.
b.
c.
d.

44. The direction cosines of any normal to the xy plane are
a.
b.
c.
d.

45. Find the equation of the plane passing through the points P(1, 1, 1), Q(3, -1, 2), R(-3, 5, -4).
a.
b.
c.
d.

46. Question
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b.
c.
d.

47. Question
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b.
c.
d.

48. Question
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b.
c.
d.

49. Question
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c.
d.

50. The coordinates of the foot of the perpendicular drawn from the point (2, 5, 7) on the x-axis are given by:
a.
b.
c.
d.

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