## NCERT Solutions for Maths Class 12 Chapter 11 Exercise 11.1 - FREE PDF Download

## FAQs on NCERT Solutions for Class 12 Maths Chapter 11 - Three Dimensional Geometry Exercise 11.1

1. What is the weightage of Exercise 11.1 of class 12 Maths?

The weightage of any exercise is decided randomly based on the chapter and the format. For board exams, the sums of any chapter can be randomly selected and hence, it is important to practice all the sums to be ready for any question that is set. Apart from this students are advised to check the chapter-wise weightage to get a clearer picture.

2. Which question is considered an important one from Class 12 Maths exercise 11.1?

No such thing as the most significant question exists! You see, the easier ones help you remember your principles, while the more complex ones evaluate your problem-solving abilities and how you apply your knowledge in practice. To understand the topics in Chapter 11 3D Geometry you need to pay close attention. As a result, please practice all amounts, no matter how tough they are. You can visit the page NCERT Solutions Class 12 Maths Chapter 11 on the official website of Vedantu.

3. What exactly is 3D Geometry?

Shapes in 3D space may be calculated using 3 coordinates on the XYZ plane: the x-coordinate, y-coordinate, and z-coordinate. Three-dimensional forms are those that occupy space. As a solid form with three dimensions (length, width, and height), 3D shapes may also be described in this way. It is an integral part of Mathematics and students must learn its concepts very clearly and practice all the problems related to the same for better understanding.

4. What is the need for 3D Geometry?

As the name suggests, 3D geometry is the study of three-dimensional forms in space. A z-coordinate may be determined by subtracting the x-coordinate from the value of the y-coordinate. If you want to discover the precise position of a point in three-dimensional space, you need three parameters. It is a vast field and also has multiple applications in the domain of mathematics.

5. Where can we apply Geometry?

A few examples of how geometry is used in the actual world include computer-aided design (CAD) for construction plans and industrial assembly systems. These include nanotechnology, computer graphics, visual graphs, video game programming and virtual reality development (VR). These are just a few examples of many of Geometry’s applications in our life and the domain of Mathematics.

6. What are direction cosines in Ex 11.1 Class 12 Maths?

Direction cosines are the cosines of the angles that a line makes with the positive directions of the coordinate axes. They are denoted by l, m, and n for the x, y, and z axes, respectively.

7. What is the significance of direction cosines in Ex 11.1 Class 12 Maths?

Direction cosines provide a way to quantify the orientation of a line in three-dimensional space. They are essential for understanding and solving problems related to the spatial orientation of lines.

8. What kind of problems can be solved using direction cosines and ratios?

Problems involving the orientation and angles between lines in three-dimensional space, the equation of a line, and spatial relationships can be solved using direction cosines and ratios. Practise more problems provided by Vedantu in Class 12 Maths Ch 11 Ex 11.1.

9. How many questions from Class 12 Maths Ch 11 Ex 11.1 typically appear in exams?

The number of questions from Exercise 11.1 in exams can vary generally 1-2 questions have appeared in previous years' exams, but typically, questions on direction cosines and direction ratios are common. Understanding these concepts thoroughly will help in tackling related problems in competitive and board exams.