COORDINATE GEOMETRY
Frequently Asked Questions
Coordinate geometry is the study of geometric points, lines, and shapes using the Cartesian coordinate system to represent them with numerical coordinates.
The Cartesian system allows us to precisely locate and describe points in a plane, making it easier to solve geometric problems using algebra and graphs.
Abscissa is the x-coordinate (horizontal value) and ordinate is the y-coordinate (vertical value) of a point on the Cartesian plane.
To plot (x, y), start at the origin, move x units along the x-axis, then y units up or down parallel to the y-axis.
The origin is the point (0, 0) where the x-axis and y-axis intersect; it is the reference for locating all other points.
Axes are the two perpendicular reference lines, x-axis (horizontal) and y-axis (vertical), used to define coordinates of points.
Coordinates are an ordered pair of numbers (x, y) that specify the position of a point in the coordinate plane.
Coordinate geometry helps in fields like navigation, engineering designs, computer graphics, mapping, and physics by locating and analyzing positions.
The plane is divided into four quadrants, each representing different signs (+/-) for x and y, helping to identify position of points.
Check the signs of x and y: both positive (I), x negative & y positive (II), both negative (III), x positive & y negative (IV).
Questions include plotting points, interpreting coordinates, working with axes, identifying quadrants, and simple geometric applications.
Solutions are available in the NCERT textbook and on various educational websites offering chapter-wise answers and explanations.
Yes, if the x-coordinate or y-coordinate of a point is zero, it lies on either the y-axis or x-axis respectively.
Always write the x-coordinate first, then the y-coordinate, separated by a comma, as (x, y).
Signs indicate the direction from the origin on the axes: positive means right or up, negative means left or down.
Horizontal distances are measured along the x-axis and vertical distances along the y-axis between points.
The position of any point is described as an ordered pair (x, y) in the Cartesian system.
Yes, it allows you to plot equations as curves or lines on the plane and understand their geometric meaning.
Applications include drawing shapes, understanding graphs, navigation, mapping, and solving geometric problems visually.
Always read the x-coordinate first (horizontal movement), then the y-coordinate (vertical movement), starting from the origin.
The horizontal line is the x-axis and the vertical line is the y-axis.
Yes, points with the same x-coordinate but different y-coordinates lie on a line parallel to the y-axis.
Yes, it is a core topic in the Class 9 NCERT syllabus and is tested in school, CBSE, and other board exams.
An ordered pair is a set of two numbers (x, y) that represent the exact position of a point in the coordinate plane.
By practicing plotting various points, recognizing axes and quadrants, and solving textbook exercises regularly.
