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Abscissa and ordinate collectively forms coordinate of a point in Cartesian system. The coordinates of a point on the x-axis are of the form x, 0 , and of a point on the y-axis are of the form 0, y. There is overall summery about coordinate geometry for class 10, which will help the students to know more about this chapter. What are the Objectives of Coordinate Geometry in class 10 Maths? Give some Important Results in Coordinate Geometry?
The Questions are related to find roots of quadratic equations and convert world problem into quadratic equations are easily scoring topics in board exams. Arithmetic Progressions Class 10 has total of four exercises consists of 49 Problems.
Triangles Class 10 has total of six exercises consists of 64 Problems. The Questions are based on properties of triangles and 9 important theorems which are important in scoring good marks in CBSE Class 10 Exams. Coordinate Geometry Class 10 has total of four exercises consists of 33 Problems. The Questions related to finding the distance between two points using their coordinates, Area of Triangle, Line divided in Ratio Section Formula are important models in class 10 boards.
Introduction to Trigonometry Class 10 has total of four exercises consists of 27 Problems. The questions based on trigonometric ratios of specific angles, trigonometric identities and trigonometric ratios of complementary angles are the main topics you will learn in this chapter. Some Applications of Trigonometry Class 10 has one exercise consists of 16 Problems.
In this chapter, you will be studying about real life applications of trigonometry and questions are based on the practical applications of trigonometry. Circle Class 10 has total of two exercises consists of 17 Problems. Understand concepts such as tangent, secant, number tangents from a point to a circle and more. Constructions Class 10 has total of four exercises consists of 14 Problems.
Chapter 10 - Circles. Chapter 11 - Constructions. Chapter 12 - Areas Related to Circles. Chapter 13 - Surface Areas and Volumes. Chapter 14 - Statistics. Chapter 15 - Probability. Coordinate Geometry.
Coordinate Geometry is the branch of Mathematics that helps us exactly locate a given Ncert Solutions Class 10th Maths Chapter 2 Chem point with the help of an ordered pair of numbers. Coordinate geometry is also known as Cartesian Geometry. It helps you find the distance between two points whose coordinates are given. You can also find the coordinates of the point which divides the line segment joining two given points in the given ratio. Also you will learn how to find the area of a triangle in terms of the coordinate of its vertices.
The five sections are introduction to coordinate geometry, formula to calculate distance between two pints, finding the coordinate of the point dividing the line in a particular ratio called section formula and finding the area of triangle in the form of coordinates of their vertices.
Exercise 7. It helps you to find the distance between any two points given on a plane. Section Formula deals with finding the coordinates of a point dividing the line in the particular ratio. What is Coordinate Geometry. We have studied number lines to mark any point. Descartes invented the idea of placing two perpendicular lines to each other on a plane, and locating points on the lines of the plane. The perpendicular lines may be in any direction but usually one line is horizontal and the other vertical.
Coordinate Geometry is the branch of mathematics that helps us to exactly locate a given point with the help of an ordered pair of numbers. Coordinate geometry is the combination of geometry and algebra to solve the problems.
Coordinate geometry is also said to be the study of graphs. Graphs are visual representations of our data. It can be in different forms like bar graphs, histograms, line graphs, etc. Terms Related to Coordinate Geometry. While studying coordinate geometry the students must be aware of some important terms related to coordinate geometry they are well explained in this chapter. From this figure, let us understand some important terms used in the coordinate formula of geometry.
Axes of Coordinates. In the above figure OX and OY are called X-axis and Y-axis respectively and both together are known as axes of coordinates. The point of intersection of the axes is called the origin; it is O. The distance of any point on the plane from the Y-axis is called the abscissa. The distance of any point on the plane from the X-axis is said to be ordinate.
Coordinate of the Origin. It has zero distance from both the axes. Therefore the coordinates of the origin are 0, 0. The axes divide the plane into four parts. These four parts are said to be quadrants.
The plane is called the coordinate plane or the XY-plane and the axes are called the coordinate axes. In the first quadrant, both the coordinates are positive. In the second quadrant, the y-coordinate is positive and x-coordinate is negative. In the third quadrant, both the coordinates are negative.
In the fourth quadrant, the y-coordinate is negative and the x-coordinate is positive. Distance Formula. In chapter 7 Maths Class 10 we learn about distance formulas for finding distance between two points. Finding the distance between the two points by using formula when the two coordinates of the points are given.
Section Formula. Section formula helps us in finding the coordinates of the point dividing the line in the ratio m:n.
If P is the point dividing the line AB in the ratio m:n where coordinates of A x 1 , y 1 and B x 2 , y 2. Area of Triangle. It will let us find the area of any triangle in terms of coordinates of its vertices. This formula will also be used in finding the area of quadrilaterals. All the basic formulas of coordinate geometry will help you to solve your geometry and algebra problems. Chapter 7 maths Class 10 provides you the list of all formulas of coordinate geometry to solve all the related problems.
General Form of a Line. Where A , B, C are real numbers and x and y are variables. Slope Intercept Form of a Line. Where x and y are variables, c is constant and m is the slope. Point-Slope Form. The slope of a Line Using Coordinates. The slope of a Line Using General Equation.
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