CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its official website. Competency-focused questions can be helpful for students to secure good marks while referring and practicing them. It will help students to get familiar with the style and format of questions which are expected to appear in the final examinations.
In this article you will find specifically for Class 12 Maths Chapter 11 Three Dimensional Geometry downloadable PDF link. At the end of this article, a free PDF link has been attached for the students to access and download.
Check: CBSE Class 12 Maths Competency-Based Questions With Answer Key 2024-25
CBSE Class 12 Maths Chapter 11 Competency-Based Questions
The chapter 11 CBQs for Class 12 Maths are given below. The questions provided here are MCQs whose complete PDF is attached at the end of these questions along with Volume 2 with free response questions.
Q: 1 A line passes through (2, -1, -3) and (0, 2, 3).
Which of the following are the direction cosines of a line parallel to the given line at a distance of 3 units from the given line?
Q: 2 The direction ratios of two parallel lines are 3, 1, (-10) and (-5), 7, 6 respectively. Which of the following are the values of A and o?
Q: 3 Which of the following is the sum of the direction cosines of the y -axis?
i) 0
ii) 1
iii) 180°
iv) (cannot say without being given two points on the y -axis)
Read the information given below and answer the questions that follow.
A supply ship left a port to replenish food and equipment for the Indian navy. Enemies used a submarine to track the ship and scout the port.
(Note: The figure is not to scale.)
Assuming the port to be at the origin, the position of the ship is (5 km, 0 km, 9 km) and the position of the submarine is (11 km, -0.9 km, -10 km).
Q: 4 What angle does the line joining the ship and the port make with the z -axis?
Q: 5 Which of the following is the cartesian equation of the line joining the ship to the submarine?
Q: 6 The submarine squad wants to find the direction cosines of the line joining the submarine to the port. The captain of the submarine says that the direction cosines are:
Q: 7 The distance between the port and the ship is /106 km, the distance between the submarine and the port is /221.81 km and the distance between the ship and the submarine is V397.81 km.
Which of the following represents the angle between the lines joining the submarine to the ship and the line ionina the submarine to the port?
Q: 8 Which of the following is the equation of the line joining the submarine and the port?
Q: 9 Given below are two parallel lines.
Find the angle between the line and the z-axis. Show your steps and give a valid reason.
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To download this complete set of questions with the solutions and get more diverse options, click on the links below:
| CBSE Class 12 Maths Chapter 11 Three Dimensional Geometry Competency Focused Questions 2024-25 With Answers Volume 1 | |
| CBSE Class 12 Maths Chapter 11 Three Dimensional Geometry Competency Focused Questions 2024-25 With Answers Volume 2 |
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