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What is Cartesian Plane (includes Axes and Quadrants) Video Lecture - Class 9

FAQs on What is Cartesian Plane (includes Axes and Quadrants) Video Lecture - Class 9

1. What is a Cartesian plane and how is it related to axes and quadrants?

Ans. A Cartesian plane, also known as a coordinate plane, is a two-dimensional plane formed by two perpendicular lines known as axes. The horizontal axis is called the x-axis, while the vertical axis is called the y-axis. The point where these axes intersect is known as the origin. The plane is divided into four quadrants, numbered from I to IV, based on the signs of the coordinates.

2. How are the x and y axes defined in a Cartesian plane?

Ans. In a Cartesian plane, the x-axis is the horizontal line that extends to the right and left of the origin. It is used to represent the values of the x-coordinate or the horizontal position of a point. The y-axis, on the other hand, is the vertical line that extends above and below the origin. It represents the values of the y-coordinate or the vertical position of a point.

3. What are the four quadrants in a Cartesian plane and how are they numbered?

Ans. The Cartesian plane is divided into four quadrants. Quadrant I is located in the upper right portion of the plane, where both the x and y coordinates are positive. Quadrant II is in the upper left portion, where the x-coordinate is negative but the y-coordinate is positive. Quadrant III is in the lower left portion, where both the x and y coordinates are negative. Quadrant IV is in the lower right portion, where the x-coordinate is positive but the y-coordinate is negative.

4. How are points represented in a Cartesian plane?

Ans. In a Cartesian plane, points are represented by their coordinates, which are expressed as ordered pairs (x, y). The x-coordinate represents the horizontal position of the point, while the y-coordinate represents the vertical position. For example, the point (3, 2) would be located 3 units to the right and 2 units upwards from the origin.

5. How can the Cartesian plane be used to solve mathematical problems?

Ans. The Cartesian plane is a valuable tool in mathematics for graphing equations, analyzing data, and solving geometric problems. It allows us to visually represent relationships between variables, plot points, determine distances between points, and find intersections of lines or curves. By utilizing the Cartesian plane, we can better understand and solve a wide range of mathematical problems.

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