NCERT Solutions Class 10 Maths Chapter 7 Coordinate Geometry
NCERT Solutions for Class 10 maths chapter 7 Coordinate Geometry talks about the various aspects of coordinate geometry. Coordinate geometry has been developed as an algebraic tool for studying the geometry of figures. It helps us to study geometry using algebra, and understand algebra with the help of geometry thus, making it widely applicable in fields such as physics, engineering, navigation, and art. The distance of a point from the y-axis is called its x-coordinate, or abscissa. The distance of a point from the x-axis is called its y-coordinate, or ordinate. These are some of the most basic and important terms associated with coordinate geometry that kids must understand. NCERT solutions class 10 maths chapter 7 can also help students develop visualization skills, thus enabling them to analyze graphs precisely.
Class 10 maths NCERT Solutions chapter 7 is a very important chapter as it helps students to find the distance between the two points whose coordinates are given, and to find the area of the triangle formed by three given points. Additionally, kids also learn how to find the coordinates of the point which divides a line segment joining in a given ratio. Children must be well-versed with this lesson as it makes its way into several sister topics such as constructions. NCERT Solutions Chapter 7 also lays a foundation for the further study of topics related to graphs in higher classes and also you can find some of these in the exercises given below.
- NCERT Solutions Class 10 Maths Chapter 7 Ex 7.1
- NCERT Solutions Class 10 Maths Chapter 7 Ex 7.2
- NCERT Solutions Class 10 Maths Chapter 7 Ex 7.3
- NCERT Solutions Class 10 Maths Chapter 7 Ex 7.4
NCERT Solutions for Class 10 Maths Chapter 7 PDF
Coordinate Geometry is the branch of mathematics that deals with cartesian coordinates. Usually, this system is used to manipulate the equations of various two-dimensional figures such as triangles, squares, circles, etc. The NCERT solutions for class 10 maths chapter 7 Coordinate Geometry help kids in defining and representing geometrical shapes in a numerical way and extracting numerical information from them by drawing logical conclusions. The free PDF of NCERT Solutions Class 10 Maths Chapter 7 Coordinate Geometry is given below.
☛ Download Class 10 Maths NCERT Solutions Chapter 7 Coordinate Geometry
NCERT Class 10 Maths Chapter 7
NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry
Coordinate Geometry can prove to be a confusing topic due to the use of formulas as well as performing computations in the cartesian plane. Thus, it is highly advised that kids should apply these formulas to sums and practice them regularly so as to recall the required concept whenever required. Children should also have a strong foundation of the Pythagoras theorem as it is used in certain derivations. The analysis of each exercise of NCERT Solutions Class 10 Maths Chapter 7 Coordinate Geometry is below.
- Class 10 Maths Chapter 7 Ex 7.1 - 10 questions
- Class 10 Maths Chapter 7 Ex 7.2 - 10 questions
- Class 10 Maths Chapter 7 Ex 7.3 - 5 questions
- Class 10 Maths Chapter 7 Ex 7.4 - 8 questions
Topics Covered: Topics covered in Class 10 maths NCERT solutions chapter 7 are the calculation of distance between two points on the cartesian plane, internal and external division of a line segment in a particular ratio, calculation of the area of a triangle, and the real-life applications of these formulas.
Total Questions: Class 10 Maths Chapter 7 Coordinate Geometry consists of a total of 33 questions, of which 20 are fairly easy, 7 are moderately difficult, and 6 are long answer complicated sums. These problems are distributed across 4 exercises of this chapter.
List of Formulas in NCERT Solutions Class 10 Maths Chapter 7
NCERT solutions class 10 maths chapter 7 makes heavy use of three formulas namely, the distance formula, the section formula, and the area of a triangle. Before memorizing them it is necessary for kids to go through the theory and derivations of such formulas to get a clear understanding of the meaning behind them. Without these formulas attempting problems in the scope of the cartesian plane would be very difficult. Thus, they are crucial and will be used in further topics to come. Some important formulas covered in NCERT solutions for class 10 maths chapter 7 are given below :
- Distance Formula : PQ = √((x2 - x1)2+(y2-y1)2)
- Section Formula: ((m1x2+m2x1)/m1+m2 , (m1y2+m2y1)/m1+m2)
- Area of Triangle: 1/2 * [ x1 (y2-y3) + x2 (y3 - y1) + x3(y1 - y2) ]
FAQs on NCERT Solutions Class 10 Maths Chapter 7
Why are NCERT Solutions Class 10 Maths Chapter 7 Important?
NCERT Solutions for Class 10 Maths Chapter 7 lists the explanations for each problem in a step-wise and detailed manner. While attempting a board exam it is required that the students present a well-structured clear paper so that they can get the maximum marks possible. These solutions act as guidelines for children to do the same and are used to give them a good understanding of the topic at hand.
Do I Need to Practice all Questions Provided in Class 10 Maths NCERT Solutions Coordinate Geometry?
Practicing all questions of NCERT Solutions Class 10 Maths Coordinate Geometry multiple times can be very effective in understanding the key points. All these problems give a fresh perspective of topics and will help students learn how to find the distance between two points with given x and y coordinates, determine the area of a triangle with three given points, and many more. As each sum is framed in a different way and targets a new aspect of the topic it becomes vital for kids to solve all problems.
Which Topics are Important in NCERT Class 10 Chapter 7 Coordinate Geometry?
Important topics of class 10 chapter 7 Coordinate Geometry are the distance formula, the section formula, and the area of the triangle. Questions related to all three topics have a high weightage in exams; hence students should practice them well. They can also attempt the solved examples and optional exercises to cover this subject matter in detail.
How Many Questions are there in Class 10 Maths NCERT Chapter 7 Coordinate Geometry?
The total number of questions in NCERT Class 10 Chapter 7 Coordinate Geometry is 33. Out of which 10 are in the 1st exercise, 10 in the 2nd, 5 in the 3rd, and 8 in the 4th exercise. They are both theoretical as well as practical in nature and are based on the cartesian plane along with the associated formulas. Apart from the exercise questions, students can also practice the solved examples to get an idea of the concepts.
What are the important formulas in NCERT Class 10 Chapter 7 Coordinate Geometry?
NCERT Class 10 chapter 7 consists of three important formulas, those being the distance formula, the section formula, and the area of a triangle. Students need to spend ample time perfecting and memorizing these. This chapter also sees the use of certain formulas and properties that have appeared in earlier lessons and classes. Thus, if required it will be beneficial for kids to have a quick glance at those as well.
How CBSE Students can utilize NCERT Solutions Class 10 Maths Chapter 7 effectively?
CBSE students can solve the exercises of the NCERT Solutions Class 10 Maths Chapter 7 along with the optional exercise in order to cover all the topics. Students can also refer to the detailed solution set if they get stuck on any topic. In addition to that, the theory section explains each and every concept in a stepwise manner hence, kids should revise this entire segment before solving the exercises. To boost their learning kids can also refer to exam papers from previous years’ board examinations.