CBSE Class 9 Maths Notes Chapter 3 Coordinate Geometry

CBSE Class 9 Maths Notes Chapter 3: CBSE Class 9 Maths Notes Chapter 3 talk about Coordinate Geometry. It's like using numbers to describe shapes and positions on a graph. These notes help you understand how to use numbers to find points on a graph, measure distances between them, and even figure out where the middle point is.

CBSE Class 9 Maths Notes Chapter 3 PDF

CBSE Class 9 Maths Notes Chapter 3 PDF

CBSE Class 9 Maths Notes Chapter 3 Coordinate Geometry

Coordinate Geometry

Coordinate Axes

Example:

• A point's coordinates on the Cartesian plane are expressed as an ordered pair (x, y), where x represents the abscissa and y represents the ordinate.
• The abscissa (x-coordinate) indicates the horizontal position of the point, measured along the x-axis from the origin.
• The ordinate (y-coordinate) represents the vertical position of the point, measured along the y-axis from the origin.
• For example, if a point has an abscissa of 6 and an ordinate of 2, its coordinates are written as (6, 2).
• Lines perpendicular to the x-axis (such as AC) are drawn vertically, while lines perpendicular to the y-axis (like AB) are drawn horizontally.
• The order of the coordinates in the ordered pair matters; swapping the x and y coordinates changes the position of the point on the plane.
• Therefore, (x, y) is not equivalent to (y, x), highlighting the significance of the order in the ordered pair.

Cartesian Plane

• The Cartesian plane is a two-dimensional coordinate system consisting of two perpendicular lines called axes.
• These axes intersect at a point called the origin, denoted as O.
• The horizontal axis is called the x-axis, while the vertical axis is called the y-axis.
• The axes divide the plane into four quadrants: I, II, III, and IV.
• Points on the plane are located using ordered pairs of numbers (x, y), where x represents the distance along the x-axis and y represents the distance along the y-axis.
• The coordinates (0, 0) represent the origin, where both x and y are zero.
• Points in the first quadrant have positive x and y coordinates, points in the second quadrant have negative x and positive y coordinates, points in the third quadrant have negative x and y coordinates, and points in the fourth quadrant have positive x and negative y coordinates.
• The Cartesian plane provides a visual representation of geometric figures and allows for the graphical representation of equations and functions.

Benefits of CBSE Class 9 Maths Notes Chapter 3 Coordinate Geometry

• Concept Clarity : These notes provide clear explanations of fundamental concepts in coordinate geometry, such as the Cartesian plane, coordinates, distance formula, and section formula. Students can develop a solid understanding of these concepts.
• Problem-solving Skills : The notes include various examples and practice problems that help students develop problem-solving skills. By solving these problems, students can reinforce their understanding of coordinate geometry concepts and improve their ability to solve mathematical problems.
• Visual Representation : Coordinate geometry involves graphical representation of geometric figures on the Cartesian plane. The notes include diagrams and illustrations that help students visualize geometric shapes and understand their properties.
• Preparation for Exams : CBSE Class 9 Maths Notes Chapter 3 are designed to align with the CBSE exam pattern. By studying these notes, students can effectively prepare for their exams and perform well in the mathematics section.