Co-Ordinate Geometry
NIOS · Class 10 · Maths
Summary of Co-Ordinate Geometry for NIOS Class 10 Maths. Key concepts, important points, and chapter overview.
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Co-ordinate geometry studies how points are located in a plane using an ordered pair of numbers. The x-axis is the horizontal number line, the y-axis is the vertical number line, and their intersection is the origin with co-ordinates (0, 0). A point is written as P(x, y), where x is the distance fro
Key Concepts
The two perpendicular axes
The two perpendicular axes, XOX′ and YOY′, form the rectangular co-ordinate system. The x-axis is horizontal and the y-axis is vertical. Their interse
A point P(x
A point P(x, y) has two co-ordinates. The first number, called the abscissa, gives the distance from the y-axis. The second number, called the ordinat
The axes divide the plane into
The axes divide the plane into four quadrants. Quadrant I has signs (+, +), Quadrant II has (−, +), Quadrant III has (−, −), and Quadrant IV has (+, −
The distance between P(x1
The distance between P(x1, y1) and Q(x2, y2) is PQ = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}. This is also a direct use of the right triangle formed by horiz
The distance of (x1
The distance of (x1, y1) from the origin is \sqrt{x1^2 + y1^2}.
Learning Objectives
- Locate points in a plane using rectangular co-ordinates
- Identify the x-axis, y-axis, origin, and quadrants
- Find the distance between two points in a plane
- Find the distance of a point from the origin
- Find the co-ordinates of a point dividing a line segment internally in a given ratio
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