**MCQs Questions for Class 11 Maths Chapter 12 Three Dimensional Geometry**

In this 21^{st} 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)

**Answer: a**

**2. **The point (0, 0, 3) lies on
_______

(a) x-axis

(b) y-axis

(c) z-axis

(d) x-y plane

**Answer: c**

**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)

**Answer: a**

**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

**Answer: a**

**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

**Answer: b**

**6.** In which octant does the point (-1, 5, 7) lie?

(a) 1^{st}

(b) 2^{nd}

(c) 6^{th}

(d) 7^{th}

**Answer: b**

**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

**Answer: d**

**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)

**Answer: d**

**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

**Answer: c**

**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

**Answer: c**

**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)

**Answer: b**

**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

**Answer: b**

**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)

**Answer: a**

**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

**Answer: c**

**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)

**Answer: b**

**16. **If P (2, 3, 9), Q (2, 5, 5) and R (8, 5, 3) are vertices of a
triangle, then find the length of the median through P.

(a) √24

(b) √38

(c) √11

(d) √53

**Answer: b**