Maths Class 12 Three Dimensional Geometry MCQs: The Central Board of Secondary Education is responsible for conducting the annual board exam for class 12, which is considered the most important test for students. The question paper follows a pre-defined format every year and comprises questions of various types like MCQs, short-answer and long-answer.
Each question requires a different answering approach depending on its difficulty level and marks. Multiple choice questions are usually a core part of all papers, but unlike other subjects, they aren’t straightforward in mathematics. Solving MCQs requires fast calculation skills and quick thinking from students. So it becomes essential to thoroughly go through several MCQs before appearing in the exam. You can check out the MCQs for CBSE Class 12 Maths Chapter 11 Three Dimensional Geometry below.
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MCQs for CBSE Class 12 Maths Chapter 11 Three Dimensional Geometry
Question 1: If the direction cosines of a line are k/3,k/3,k/3, then value of k is
(a) k > 0
(b) 0 < k < 1.
(c) k = 1/3
(d) k = ±3
Answer: (d) k = ±3
Question 2: If a line has direction ratios 2, – 1, – 2, determine its direction cosines:
(a) ⅓, ⅔, -⅓
(b) ⅔, -⅓, -⅔
(c) -⅔, ⅓, ⅔
(d) None of the above
Answer: (b) ⅔, -⅓, -⅔
Related: CBSE Class 12 Maths Syllabus 2023-24: 12th Maths Syllabus Download PDF
Question 3: The direction cosines of the y-axis are:
(a) (9, 0, 0)
(b) (1, 0, 0)
(c) (0, 1, 0)
(d) (0, 0, 1)
Answer: (c) (0, 1, 0)
Question 4: Find the equation of the plane passing through the points P(1, 1, 1), Q(3, -1, 2), R(-3, 5, -4).
(a) x + 2y = 0
(b) x – y – 2 = 0
(c) -x + 2y – 2 = 0
(d) x + y – 2 = 0
Answer: (d) x + y – 2 = 0
Also Check: NCERT Solutions for Class 12 Maths PDF: Updated for 2023-24
Question 5: The distance between the planes 2x−3y + 6z+12=0 and 2x−3y+6z−2=0 is
(a) 10/7
(b) 2/7
(c) 2
(d) 24/7
Answer: (c) 2
Question 6: The equation x² – x – 2 = 0 in three-dimensional space is represented by:
(a) A pair of parallel planes
(b) A pair of straight lines
(c) A pair of the perpendicular plane
(d) None of these
Answer: (a) A pair of parallel planes
Question 7: The vector equation for the line passing through the points (–1, 0, 2) and (3, 4, 6) is:
(a) i +2k + λ(4i + 4j + 4k)
(b) i –2k + λ(4i + 4j + 4k)
(c) -i+2k+ λ(4i + 4j + 4k)
(d) -i+2k+ λ(4i – 4j – 4k)
Answer: (c) -i+2k+ λ(4i + 4j + 4k)
Related: CBSE Class 12 Maths Sample Paper 2023-24 with Solutions PDF – Download Model Paper
Question 8: Three line segments are drawn by joining any two of the points A(-1, 3), B(-2, 1), and C(-5, -1). How many of them are intersected by the y-axis?
(a) 1
(b) 0
(c) 2
(d) 3
Answer: (b) 0
Question 9: If l, m, n are the direction cosines of a line, then;
(a) l2+ m2+ 2n2 = 1
(b) l2+ 2m2+ n2 = 1
(c) 2l2+ m2+ n2 = 1
(d) l2+ m2+ n2 = 1
Answer: (d) l2+ m2+ n2 = 1
Question 10: 
Answer: (b)
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