MCQs Questions for Class 11 Maths Chapter 12 Three Dimensional Geometry

MCQs Questions for Class 11 Maths Chapter 12 Three Dimensional Geometry

MCQs Questions for Class 11 Maths Chapter 12 Three Dimensional Geometry

In this 21st century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find 16 MCQs questions for class 11 maths chapter 12 three dimensional geometry.

MCQs Questions for Class 11 Maths Chapter 12 Three Dimensional Geometry

1. The image of the point P(1, 3, 4) in the plane 2x – y + z = 0 is
(a) (-3, 5, 2)
(b) (3, 5, 2)
(c) (3, -5, 2)
(d) (3, 5, -2)

2. The point (0, 0, 3) lies on _______
(a) x-axis
(b) y-axis
(c) z-axis
(d) x-y plane

3. The coordinates of the foot of the perpendicular drawn from the point A(1, 0, 3) to the line joining the points B(4, 7, 1) and C(3, 5, 3) are
(a) (5/3, 7/3, 17/3)
(b) (5, 7, 17)
(c) (5/3, -7/3, 17/3)
(d) (5/7, -7/3, -17/3)

4. Find the distance of the point (2, 3, 5) from Y-Z plane.
(a) 2 units
(b) 3 units
(c) 5 units
(d) 1 unit

5. The equation of the set of point P, the sum of whose distance from the points A(4, 0, 0) and B(-4, 0, 0) is equal to 10, is
(a) 9x² + 25y² + 25z² + 225 = 0
(b) 9x² + 25y² + 25z² – 225 = 0
(c) 9x² + 25y² – 25z² – 225 = 0
(d) 9x² – 25y² – 25z² – 225 = 0

6. In which octant does the point (-1, 5, 7) lie?
(a) 1st
(b) 2nd
(c) 6th
(d) 7th

7. Find the distance between the two points (5, 6, 7) and (2, 6, 3).
(a) 3 units
(b) 0 units
(c) 4 units
(d) 5 units

8. 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 equal to
(a) 2√3(i – j + k)
(b) 2√3(-i + j + k)
(c) 2√3(i + j – k)
(d) 2√3(i + j + k)

9. The three points A (3, 0, 3), B (5, 3, 2) and C (6, 5, 5) form a/an
(a) equilateral triangle
(b) right-angled triangle
(c) isosceles triangle
(d) right-angled isosceles triangle

10. The coordinates of the point where the line passes through the points (5, 1, 6) and (3, 4, 1) crosses the YZ-plane is
(a) (0, 17/2, 13/2)
(b) (0, -17/2, -13/2)
(c) (0, 17/2, -13/2)
(d) None of these

11. Find the midpoint of (1, 4, 6) and (5, 8, 10).
(a) (6, 12, 8)
(b) (3, 6, 8)
(c) (1, 9, 12)
(d) (4, 9, 12)

12. The angle between the vectors with direction ratios (4, -3, 5) and (3, 4, 5) is
(a) Ï€/2
(b) Ï€/3
(c) Ï€/4
(d) Ï€/6

13. If the coordinates of the vertices of a triangle are (7, 6, 4), (5, 4, 6) and (9, 5, 8), then find the coordinates of the centroid of the triangle.
(a) (7, 5, 3)
(b) (7, 3, 5)
(c) (5, 3, 7)
(d) (3, 5, 7)

14. The maximum distance between the points (3 sin Î¸, 0, 0) and (4 cos Î¸, 0, 0) is
(a) 3
(b) 4
(c) 5
(d) Cannot be find

15. Find the points which trisects the line segment joining the points (4, 9, 8) and (13, 27, -4).
(a) (7, 4, 15)
(b) (7, 15, 4)
(c) (4, 15, 7)
(d) (4, 7, 15)