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ICSE Class 10 Mathematics Revision Notes Chapter 13 - Section and Mid-Point Formula

Last updated date: 24th Jul 2024
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Revision Notes for ICSE Class 10 Math Chapter 13 - Free PDF Download

Chapter 13 of the ICSE Class 10 Mathematics is Section and Midpoint Formula. The chapter is based on the theory of coordinate systems. Students must have knowledge about the Cartesian plane to solve the questions of this chapter. Also, in this chapter, they will learn to find the distance between the two points, about the section formulas, and how to prove a quadrilateral as another quadrilateral.

To learn and understand this chapter in less time, Vedantu provides the well-researched notes and the ICSE Solutions of this chapter. Using these notes, students can easily learn all the formulas used in the chapter. They can download them in the form of a PDF file and can study offline.

These notes are very beneficial for the students. Some of the benefits are listed below:

1. The notes help in understanding a chapter in a shorter time span.

2. All the important topics of the chapter are covered in these notes.

3. Students will be able to get all the vital formulas in one place.

4. They will not find any difficulty in accessing these notes from the internet.

5. These notes help in retaining all the necessary information till the examination.

6. This is the best study material a student must use at the time of revision.

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Revision Notes for ICSE Class 10 Maths Chapter 13 - Free PDF Download

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FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 13 - Section and Mid-Point Formula

1. How to score good marks in Chapter 13 Section and Midpoint Formula of the ICSE Class 10th Mathematics?

Students have to do lots of hard work and show dedication in their studies if they want to achieve good marks in Chapter 13 Section and Midpoint Formula of the ICSE Class 10thMaths exam. With the help of the right educational materials, they can easily prepare the chapter. Vedantu offers the notes, ICSE solutions, and other study materials related to the chapter so that students can access them and prepare for their examinations. They can download these materials free of cost and use them for comprehending the chapter. By this, they can score well in their Maths exam.

2. Following concepts of chapter 13 of ICSE Class 10, what is a centroid of a triangle? Which formula is used for finding it?

The centroid of a triangle is defined as the point of intersection where the medians of the triangle intersect each other.

The centroid of a triangle describes the ratio of the median. The ratio of every median is 2:1.

Consider a triangle having vertices A, B, and C. The vertices of the triangle are defined as A (x1, y1), B(x2, y2), and Z (x3, y3)

The centroid of a triangle = (x1  + x2 + x3/ 3, y1 + y2 + y3/ 3).

3. How to solve the questions in which the ratio is not given for ICSE Maths class 10 chapter 13?

It is suggested that the ratio should be taken as k:1 in those questions in which the ratio is not mentioned. In this way, two unknown ratios m1 and m2 change to known ratio k:1. Without this ratio, the section formula becomes, x = kx2 + x1/ k + 1 and y = ky2 + y1/ k + 1

By putting the value of x and y, two equations will be obtained. By solving those two equations, the actual value of the ratio will be obtained.

4. How many exercises are there in Chapter 13 Section and Midpoint Formula of the ICSE Class 10 Mathematics?

Chapter 13 Section and Midpoint Formula of the ICSE Class 10thMathematics comprises three exercises. The number of questions in these exercises is as follows:

Exercise 13A –26 questions

Exercise 13B –18 questions

Exercise 13C – 22 questions

Students have to solve each question of this chapter to make a strong grip over the concepts. They can get the solutions to these questions on the internet or buy reference books from the markets. By practicing these questions, they will get to know how to attempt questions in the proper format of the main examination paper.

5. Following the concepts of class 10 ICSE Maths, solve the following:

The coordinates of the vertices of triangle ABC are given as A(3,1), B(y, 4), and C(1,x). The centroid of the triangle is G(3,4). Find the unknown variables x and y.

Given that A(3,1), B(y, 4) and C(1,x) are vertices of the triangle ABC.

The centroid of a triangle = (x1 + x2 + x3/ 3) = (y1 + y2 + y3/ 3)

Also, centroid given in the question = G(3,4)

Therefore, 3 = (3 + y + 1/ 3) = (4 + y/ 3)

9 = 4 + y

5 = y

4 = (1 + 4 + x/ 3) = (5 + x/ 3)

12 = 5 + x

7 = x