# Class 11 Mathematics Chapter 12 Introduction to 3D Geometry MCQ Questions with Answer

Introduction to 3D Geometry Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Introduction to 3D Geometry class 11 MCQ which will help them all through their board test.

## Introduction to 3D Geometry Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 12 Introduction to 3D Geometry. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Introduction to 3D Geometry Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Introduction to 3D Geometry MCQ with answers given below.

Question 1. The distance of the point P(a, b, c) from the x-axis is
(a) (b2 + c2)
(b) (a2 + c2)
(c) (a2 + b2)
(d) none of these

A

Question 2. The ratio in which the join of ( 2, 1, 5) and (3, 4, 3) is divided by the plane (x + y – z)=1/2/is:
(a) 3 : 5
(b) 5 : 7
(c) 1 : 3
(d) 4 : 5

B

Question 3. For every point P(x, y, z) on the x-axis (except the origin),
(a) x = 0, y = 0, z ≠ 0
(b) x = 0, z = 0, y ≠ 0
(c) y = 0, z = 0, x ≠ 0
(d) none of these

C

Question 4. Point (–3, 1, 2) lies in
(a) Octant I
(b) Octant II
(c) Octant III
(d) Octant IV

B

Question 5. ABC is a triangle and AD is the median. If the coordinates of A are ( 4, 7, – 8)and the coordinates of centroid of the triangle ABC are (1, 1, 1), what are the coordinates of D?
(a) (– 1/2 ,2,11)
(b)(– 1/2 , –2, 11/2)
(c) (–1, 2, 11)
(d) (–5, –11, 19)

B

Question 6. P(a, b, c); Q (a + 2, b + 2, c – 2) and R (a + 6, b + 6, c – 6) are collinear. Consider the following statements :
1. R divides PQ internally in the ratio 3 : 2
2. R divides PQ externally in the ratio 3 : 2
3. Q divides PR internally in the ratio 1 : 2
Which of the statements given above is/are correct ?
(a) 1 only
(b) 2 only
(c) 1 and 3
(d) 2 and 3

D

Question 7. The point equidistant from the four points (0,0, 0), (3/2, 0, 0), (0,5/2, 0) and (0, 0, 7/2) is:
(a) (2/3 , 1/3 , 2/5)
(b) (3, 2, 3/5)
(c) (3/4 , 5/4 , 7/4)
(d) (1,0, 1/2)

C

Question 8. For every point P(x, y, z) on the xy-plane,
(a) x = 0
(b) y = 0
(c) z = 0
(d) none of these

C

Question 9. Find the equation of set points P such that PA2 + PB2 = 2K2, where A and B are the points (3, 4, 5) and (–1, 3, –7), respectively :
(a) K2 – 109
(b) 2K 2 – 109
(c) 3K2 – 109
(d) 4K 2 – 10

B

Question 10. The point equidistant from the four points (0,0, 0), (3/2, 0, 0), (0,5/2, 0) and (0, 0, 7/2) is:
(a) (2/3 , 1/3 , 2/5)
(b) (3, 2, 3/5)
(c) (3/4 , 5/4 , 7/4)
(d) (1/2,0, -1)

C

Question 11. What is the shortest distance of the point (1, 2, 3) from x- axis ?
(a) 1
(b) 6
(c) 13
(d) 14

C

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Introduction to 3D Geometry Class 11 MCQ are ready by the subject specialists themselves.

Question 12. What are coordinates of the point equidistant from the points (a, 0, 0), (0, a, 0), (0, 0, a) and (0, 0, 0) ?
(a) (a/3 , a/3 , a/3)
(b) (a/2 , a/2 , a/2)
(c) (a, a, a)
(d) (2a, 2a, 2a)

B

Question 13. The three vertices of a parallelogram taken in order are (–1, 0), (3, 1) and (2, 2) respectively. Find the coordinate of the fourth vertex.
(a) (2,1)
(b) (–2,1)
(c) (1,2)
(d) (1,–2)

B

Question 14. If the sum of the squares of the distance of the point ( x, y, z) from the points ( a, 0, 0) and ( –a , 0, 0) is 2c2, then which one of the following is correct?
(a) x2 + a2 = 2c2 – y2 – z2
(b) x2 + a2 = c2 – y2 – z2
(c) x2 – a2 = c2 – y2 – z2
(d) x2 + a2 = c2 + y2 + z2

B

Question 15. What is the perpendicular distance of the point P(6, 7, 8) from xy-plane?
(a) 8
(b) 7
(c) 6
(d) none of thes

A

Question 16. What is the locus of a point which is equidistant from the points (1, 2, 3) and (3, 2, – 1) ?
(a) x + z = 0
(b) x – 3z = 0
(c) x – z = 0
(d) x – 2z = 0

D

Question 17. What is the ratio in which the line joining the points (2,4, 5) and (3, 5, – 4) is internally divided by the xy-plane?
(a) 5 : 4
(b) 3 : 4
(c) 1 : 2
(d) 7 : 5

A

Question 18. L is the foot of the perpendicular drawn from a point P(6, 7, 8) on the xy-plane. What are the coordinates of point L?
(a) (6, 0, 0)
(b) (6, 7, 0)
(c) (6, 0, 8)
(d) none of these

B

Question 19. The equation of locus of a point whose distance from the y-axis is equal to its distance from the point (2, 1, –1) is
(a) x2 + y2 + z2 = 6
(b) x2 – 4x + 2z + 6 = 0
(c) y2 – 2y – 4x + 2z + 6 = 0
(d) x2 + y2 – z2 = 0

C

Question 20. The ratio in which the join of points (1, –2, 3) and (4, 2, –1) is divided by XOY plane is
(a) 1 : 3
(b) 3 : 1
(c) –1 : 3
(d) None of these

B

Question 21. L is the foot of the perpendicular drawn from a point (6, 7, 8) on x-axis. The coordinates of L are
(a) (6, 0, 0)
(b) (0, 7, 0)
(c) (0, 0, 8)
(d) none of these

A

Question 22. The points (5, 2, 4), (6, –1, 2) and (8, –7, k) are collinear if k is equal to
(a) –2
(b) 2
(c) 3
(d) –1

A

Question 23. In three dimensional space the path of a point whose distance from the x-axis is 3 times its distance from the yz-plane is:
(a) y2 + z2 = 9x2
(b) x2 + y2 =3z2
(c) x2 + z2 = 3y2
(d) y2 – z2 = 9x2

A

You can easily get good marks If you study with the help of Class 11 Introduction to 3D Geometry MCQ. We trust that information provided is useful for you. NCERT MCQ Questions for Class 11 Introduction to 3D Geometry PDF Free Download would without a doubt create positive results.

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