NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.2 Introduction to Three Dimensional Geometry - PDF Download

NCERT solutions for class 11 maths chapter 11 exercise 11.2 Introduction to three dimensional geometry, the students need to figure out the distance between two points, or the distance of a point from a line, and they also need to figure out if the three coordinates of the given points would be straight or not. In addition, students will observe the angle formed by two lines whose points are represented using the x, y and z coordinate. While the length and the angle formed between the lines can be determined. Some questions further are to determine the type of triangle that the lines would form.

Ex 11.2 class 11 maths chapter 11 NCERT solutions consist of 5 questions, out of which two questions are short answer type while three questions require explanation. This exercise is about solving problems using an equation. To understand how to solve these problems, you need to understand the equation. Class 11 maths chapter 11 exercise 11.2 NCERT solutions are developed by eSaral’s subject experts who have explained the concepts and equations to score good marks in exams. These concepts are also available in PDF format which can be downloaded on the eSaral website. Download the free PDF of NCERT solutions from the given link below and practice all the questions of exercise 11.2 class 11 maths.

Topics Covered in Exercise 11.2 Class 11 Mathematics Questions

Ex 11.2 class 11 maths chapter 11 Introduction to three dimensional geometry is totally based on distance between two points and also you will learn an equation related to this topic.

1. Distance between Two Points

Let’s suppose we have two points (x1, y1, z1) and (x2, y2, z2) in three dimensional space. The formula for determining the distances between two points in three-dimensional space is analogous to Euclid's formula for the distances studied in two-dimensional space. This formula is a minor alteration to Euclid's original formula.

Distance between two points P(x1 , y1 , z1 ) and Q (x2 , y2 , z2 ) is given by

$\mathrm{PQ}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}$

Tips for Solving Exercise 11.2 Class 11 Chapter 11 Introduction to Three Dimensional Geometry

NCERT solutions class 11 maths chapter 11 exercise 11.2 Introducing to three dimensions geometry necessitates the capacity to visualize a point in a three-dimensional space. Students need to follow useful tips to solve exercise questions which are provided by subject experts of eSaral.

1. Students need to understand that in 3D geometry, a point P is represented as x, y, z where x, y and z being the measures from YZ, ZX, and XY planes respectively.

2. NCERT solutions class 11 maths chapter 11 exercise 11.2 illustrates how the three coordinates can be used in practice and how they can be used to perform basic calculations like point distance and angle between lines which you must remember.

3. Students should also learn the equation for distance of two points formula which is very important to solve equation based questions in ex 11.2 class 11 maths chapter 11.

Importance of Solving Ex 11.2 Class 11 Maths Chapter 11 Introduction to Three Dimensional Geometry

There are a lot of benefits of solving questions of ex 11.2 class 11 maths chapter 11 Introduction to three dimensional geometry. 

1. NCERT solutions to class 11 maths ex 11.2 are explained step by step, making it super simple to understand.

2. Before the exercise 11.2, a few examples are provided for class 11 maths. These examples can be solved before solving questions of ex 11.2.

3. By practicing questions from NCERT solutions PDF, you will get accurate answers that will help you to score good marks in exams.

4. Practicing questions in NCERT solution provided by eSaral will improve your reasoning skills.
   

Frequently Asked Questions

Question 1. Write the distance formula between two points P(x1 , y1 , z1 ) and Q (x2 , y2 , z2 )?

Answer 1.  Distance between two points P(x1 , y1 , z1 ) and Q (x2 , y2 , z2 ) is given by

$\mathrm{PQ}=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2+\left(z_2-z_1\right)^2}$

Question 2. Where can I download NCERT solutions for class 11 maths chapter 11 ex 11.2?

Answer 2. You can download the NCERT solutions in PDF format from the website of eSaral. These solutions PDFs are available for free to download. You can visit the eSaral’s official website to download the PDF and practice all the questions of exercise 11.2.