In Class 12 Boards there will be Case studies and Passage Based Questions will be asked, So practice these types of questions. Study Rate is always there to help you. Free PDF Download of CBSE Class 12 Mathematics Chapter 11 Three Dimensional Geometry Case Study and Passage Based Questions with Answers were Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Three Dimensional Geometry to know their preparation level.
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In CBSE Class 12 Maths Paper, There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.
Three Dimensional Geometry Case Study Questions With answers
Here, we have provided case-based/passage-based questions for Class 12 Mathematics Chapter 11 Three Dimensional Geometry
Case Study/Passage Based Questions
In a diamond exhibition, a diamond is covered in cubical glass box having coordinates O(0, 0, 0), A(1, 0, 0), B(1, 2, 0), C(0, 2, 0), O′(0, 0, 3), A′(1, 0, 3), B′(1, 2, 3) and C′(0, 2, 3).
Direction ratios of OA are
(a) < 0, 1, 0 > (b) < 1, 0, 0 > (c) < 0, 0, 1 > (d) none of these
Answer: (b) < 1, 0, 0 >
Equation of diagonal OB′ is
Answer: (a)
Equation of plane OABC is
(a) x = 0 (b) y = 0
(c) z = 0 (d) none of these
Answer: (c) z = 0
Equation of plane O′A′B′C′ is
(a) x = 3 (b) y = 3 (c) z = 3 (d) z = 2
Answer: (c) z = 3
Equation of plane ABB′A′ is
(a) x = 1 (b) y = 1 (c) z = 2 (d) x = 3
Answer: (a) x = 1
Case Study/Passage Based Questions
A football match is organised between students of class XII of two schools, say school A and school B. For which a team from each school is chosen. Remaining students of class XII of school A and B are respectively sitting on the plane
The cartesian equation of the plane on which students of school A are seated is
(a) 2x – y + z = 8 (b) 2x + y + z = 8
(c) x + y + 2z = 5 (d) x + y + z = 5
Answer:(c) x + y + 2z = 5
The magnitude of the normal to the plane on which students of school B are seated, is
(a)√5 (b) √6
(c) √3 (d) √2
Answer:(b) √6
The intercept form of the equation of the plane on which students of school B are seated, is
Answer:(b)
Which of the following is a student of school B?
(a) Mohit sitting at (1, 2, 1)
(b) Ravi sitting at (0, 1, 2)
(c) Khushi sitting at (3, 1, 1)
(d) Shewta sitting at (2, –1, 2)
Answer:(c) Khushi sitting at (3, 1, 1)
The distance of the plane, on which students of school B are seated, from the origin is
Answer:(d)
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