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Coordinate Plane - Basics Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Coordinate Plane - Basics Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is a coordinate plane and how is it structured ? |  |
Ans. A coordinate plane is a two-dimensional surface defined by a horizontal axis (x-axis) and a vertical axis (y-axis). It is structured with four quadrants created by the intersection of these axes at the origin (0,0). Each point on the plane is represented by an ordered pair (x, y), where 'x' indicates the horizontal position and 'y' indicates the vertical position.
| 2. How do I plot points on a coordinate plane ? | |
Ans. To plot points on a coordinate plane, start at the origin (0,0). Move horizontally to the 'x' value of the ordered pair, then move vertically to the 'y' value. For example, to plot the point (3, 2), move 3 units to the right on the x-axis and then 2 units up on the y-axis. Mark the point where you end up.
| 3. What are the different quadrants in the coordinate plane ? | |
Ans. The coordinate plane is divided into four quadrants. Quadrant I (top right) has positive x and positive y values. Quadrant II (top left) has negative x and positive y values. Quadrant III (bottom left) has negative x and negative y values. Quadrant IV (bottom right) has positive x and negative y values. Each quadrant helps in identifying the sign of the coordinates.
| 4. How do I find the distance between two points on a coordinate plane ? | |
Ans. To find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane, you can use the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²].
This formula calculates the straight-line distance between the two points using their coordinates.
| 5. What is the significance of the origin in the coordinate plane ? | |
Ans. The origin is the point where the x-axis and y-axis intersect, represented as (0,0). It serves as the reference point for all other points in the coordinate plane. The position of other points is determined based on their distance from the origin, making it essential for understanding the layout of the coordinate system.
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