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RS Aggarwal Class 10 Solutions - Coordinate Geometry

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Last updated date: 29th Mar 2024
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MVSAT 2024

Coordinate Geometry Solutions for RS Aggarwal Class 10 Chapter 16 Free PDF Download

Students of Class 10 preparing for their final examinations can download the free PDF of RS Aggarwal Solutions Class 10 chapter Coordinate Geometry. The solutions given in the PDF are written in a logical and straightforward manner to maximize retention. RS Aggarwal Solutions for Class 10 Chapter 16 is great to be used as a reference tool in case of any doubts.


Coordinate geometry is a branch of geometry dealing with the studies of coordinate points. Class 10 RS Aggarwal Coordinate Geometry solutions give students an in-depth understanding of the concepts governing Coordinate Geometry. The coordinate values of a point signify its position on the coordinate plane. Download the Class 10 Maths RS Aggarwal solutions chapter 6 Coordinate Geometry PDF here.


Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Register Online for Class 10 Science tuition on Vedantu.com to score more marks in CBSE board examination.

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RS Aggarwal Solutions Class 10 Chapter 16 Coordinate Geometry Free PDF Download

RS Aggarwal Solutions Class 10 Coordinate Geometry PDF is prepared by our subject experts at Vedantu to impart quality study material and promote concept-based understanding in the students. Two axes, X-axis and Y-axis which are perpendicular to each other divide the Cartesian plane into four quadrants. The location of any point is expressed in the form of (x,y) and the intersection of both the axes is called the origin. The coordinate points of the origin are (0,0). The values on the X-axis are called abscissa, whereas the values on the Y-axis are called ordinates.


Students can download RS Aggarwal solutions Class 10 Coordinate Geometry PDF free of cost and start their preparations for their upcoming exams. The concepts of distance formula, section formula, angle formula, mid-point theorem and area of a triangle in a cartesian plane is discussed in detail in the PDF RS Aggarwal Class 10 Chapter 16 Coordinate Geometry.


Distance Formula = (x₁-x₂)²+(y₁-y₂)²

Midpoint Theorem = x₁+x₂2,y₁+y₂2

The chapter tests your application-based knowledge. All the formulas should be on your tips while preparing for your examinations and refer to RS Aggarwal Class 10 Chapter 16 solutions wherever required. The PDF will teach you how to format answers in the examination.


Class 10 Maths Chapter 16 Coordinate Geometry Weightage Marks

The Class 10 Maths paper is for 80 marks. Students preparing for their upcoming examinations can download RS Aggarwal Class 10 Coordinate Geometry solutions PDF to aid their preparations. There are a total of four types of questions that are asked in the examinations. For a better understanding of each type of question and how to solve them, download RS Aggarwal solutions Class 10 chapter Coordinate Geometry here.

  • Very Short answer type questions- 20 questions (1 marks each)

  • Short answer type I questions - 6 questions (2 marks each)

  • Short answer type II questions - 8 questions (3 marks each)

  • Long answer type questions - 6 questions (4 marks each)

The Class 10 Maths syllabus is divided into a total of 15 chapters which are categorized into seven units. The unit wise distribution of marks is given below. With better information about the weightage marks unit, students can plan their preparations accordingly.


Unit

Weightage Marks

Number System

06

Algebra

20

Coordinate Geometry

06

Geometry

15

Trigonometry

12

Mensuration

10

Statistics And Probability

11


Benefits of RS Aggarwal Class 10 Coordinate Geometry Solutions

The solution of RS Aggarwal Class 10 chapter Coordinate Geometry PDF is prepared by the subject experts of Vedantu who have years of experience in teaching. Students are advised to understand each concept well, as this is one of the scoring chapters, which will allow you to increase your overall score. 


The objective of the PDF is to give quality education to every student free of cost. 


The Benefits of Using Coordinate Geometry Class 10 Rs Aggarwal Solutions are:

  • The solutions of the PDF are written in a logical manner to increase your understanding of the chapter.

  • The solutions are written in accordance with the CBSE guidelines for exams.

  • Students should refer to the PDF to get familiar with the correct way of formatting answers in their examinations.

  • To allow a better grasp of the topic, the solutions provided are detailed and easy to understand.

FAQs on RS Aggarwal Class 10 Solutions - Coordinate Geometry

1. Find if the points (5,-2),(6,4) and (7,-2) are the sides of an isosceles triangle.

Ans: To find if the three points are the endpoints of an isosceles triangle. Let us find the length of each side of the triangle.


Let the points (5,-2),(6,4) and (7,-2) be the vertices of a triangle PQR.We will use the distance formula to determine the distance between the respective points


Length of PQ= Distance between the points (5,-2) and(6,4).

PQ = √((5-6)2+(-2-4)2 )= √((-1)2+(-6)2)

PQ = √(1+36) =√37


Length of QR= Distance between the points (6,4) and (7,-2).

QR = √((6-7)2+(4-(-2)2 )= √((-1)2+(-6)2)

QR = √(1+36) =√37


Length of PR = distance between the points (5,-2) and (7,-2).

PR = √((5-7)2+(-2-2)2 )= √((-2)2+(0)2)

PR = √4 = 2


The sides PQ and QR are of the same length. Therefore, the triangle PQR is an isosceles triangle.

2. Find the equation of the line parallel 2x-y=4 and passing through the points(2,-1).

The slope of a line parallel to another line is equal to its slope. So the slope of the line parallel to the line 2x-y=4 will be equal to its slope.


Converting into slope-intercept, y=mx+c form.


y = 2x-4


The slope of the line is 2.


m=2.


It passes through the points, (2,-1)


x1=2


y2=-1


To find the equation of the line, Put the values into the equation-


(y-y1)=m(x-x1)


( y - (-1)) = m(x-2)


y+1=2(x-2)


y+1 =2x -4


y - 2x=5, is the equation of the line passing  through the points(2,-1) and parallel to the line 2x-y=4

3. What are the applications of Coordinate Geometry mentioned in RS Aggarwal Class 10 Solutions - Coordinate Geometry?

Coordinate Geometry helps one to understand the coordinates of a point of a curve. You can find questions based on application of Coordinate Geometry in RS Aggarwal Class 10 Solutions - Coordinate Geometry. Questions such as find the distance between two points, find the third coordinate of the triangle, find the area of the triangle and more more. Students should refer to Vedantu for more such study material and exams tips for their preparation and revision purpose. This will be very helpful and time saving.

4. I am weak in Coordinate Geometry. How should I practice this chapter?

Practice is the key to master Coordinate Geometry chapter from RS Aggarwal. The exercise is designed in such a way that students will encounter easy questions first. This will boost their confidence and then they will be given tougher questions. Hence, Vedantu recommends students to go through all the questions from the exercise and refer to the solutions given by Vedantu. The solutions are concise and easy to understand with a good explanation of every step carried out to reach the solutions.

5. What are the important formulas for Coordinate Geometry mentioned in RS Aggarwal Class 10 Solutions - Coordinate Geometry?

There are a few important formulae that students have to keep in mind while solving the questions based on Coordinate geometry. Distance between two points formula, midpoint formula and formula when a point divides a line in a certain ratio are very useful in this chapter. However, other simple and basic formulas such as area of triangle, Square and rectangle will also be helpful. Vedantu wishes students good luck for their exams and helps them in preparation and revision of all subjects.