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Quadrants of Coordinate Plane - Math, Class 9 Video Lecture

FAQs on Quadrants of Coordinate Plane - Math, Class 9 Video Lecture

1. What is a coordinate plane and how is it divided into quadrants?
Ans. A coordinate plane is a two-dimensional plane formed by the intersection of two perpendicular lines called the x-axis and y-axis. The coordinate plane is divided into four quadrants, labeled as I, II, III, and IV. Quadrant I is the top-right quadrant, Quadrant II is the top-left quadrant, Quadrant III is the bottom-left quadrant, and Quadrant IV is the bottom-right quadrant.
2. How are the coordinates of a point determined in a coordinate plane?
Ans. The coordinates of a point in a coordinate plane are determined by its distance from the x-axis and y-axis. The x-coordinate represents the horizontal distance of the point from the y-axis, and the y-coordinate represents the vertical distance of the point from the x-axis. The coordinates are written in the form (x, y), where x is the x-coordinate and y is the y-coordinate.
3. In which quadrant would a point with positive x-coordinate and negative y-coordinate lie?
Ans. A point with a positive x-coordinate and negative y-coordinate would lie in Quadrant IV. In this quadrant, the x-coordinate is positive because it is to the right of the y-axis, and the y-coordinate is negative because it is below the x-axis.
4. How can we identify the quadrant of a point using its coordinates?
Ans. To identify the quadrant of a point using its coordinates, we need to analyze the signs of its x-coordinate and y-coordinate. If the x-coordinate is positive and the y-coordinate is positive, the point lies in Quadrant I. If the x-coordinate is negative and the y-coordinate is positive, the point lies in Quadrant II. If the x-coordinate is negative and the y-coordinate is negative, the point lies in Quadrant III. If the x-coordinate is positive and the y-coordinate is negative, the point lies in Quadrant IV.
5. What is the significance of quadrants in the coordinate plane?
Ans. The quadrants in the coordinate plane help us locate and identify points accurately. They provide a systematic way to describe the position of a point by using its coordinates. The quadrants also help in understanding the relationship between the signs of the coordinates and the location of the point in the plane. Additionally, the quadrants are essential in various mathematical concepts such as graphing functions, solving equations, and analyzing geometric shapes.
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