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The co-ordinates of a point describe the...

The co-ordinates of a point describe the point in the place uniquely.

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To determine whether the statement "The coordinates of a point describe the point in the place uniquely" is true or false, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Coordinates**: - Coordinates of a point in a 2D plane are represented as (x, y), where 'x' is the horizontal distance from the origin (0,0) along the x-axis, and 'y' is the vertical distance from the origin along the y-axis. **Hint**: Remember that the x-coordinate tells you how far to move left or right, and the y-coordinate tells you how far to move up or down. 2. **Graph Representation**: - Draw a Cartesian plane with the x-axis and y-axis. Mark the origin (0,0) where both axes intersect. **Hint**: Visualizing the graph will help you understand how points are plotted based on their coordinates. 3. **Plotting a Point**: - Choose a point with specific coordinates, say (x, y). Start at the origin, move 'x' units along the x-axis, and then move 'y' units up or down along the y-axis to locate the point. **Hint**: Use a ruler to ensure accurate plotting of the point on the graph. 4. **Uniqueness of Coordinates**: - Consider if there can be another point with the same coordinates (x, y). Since each coordinate pair (x, y) corresponds to a specific location on the graph, no two different points can have the same coordinates. **Hint**: Think about how changing either the x or y value would lead to a different point on the graph. 5. **Conclusion**: - Since each unique pair of coordinates corresponds to exactly one point in the plane, we conclude that the coordinates of a point do indeed describe that point uniquely. **Hint**: Reflect on the definition of uniqueness – if one thing can only correspond to one other thing, it is unique. ### Final Answer: The statement "The coordinates of a point describe the point in the place uniquely" is **True**.
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Knowledge Check

  • If (a,b) are the co-ordinates of a point where b=0 , where will the point lie.

    A
    on y-axis
    B
    on x-axis
    C
    first quadrant
    D
    second quadrant
  • Find the co-ordinates of the point which divides the join of the points (2,4) and (6,8) externally in the ratio 5:3 :

    A
    a. (15,16)
    B
    b. (18,23)
    C
    c. (3,8)
    D
    d. (2,7)
  • The co-ordinates of ny point on the circle x^2+y^2=4 are

    A
    `(cosalpha,sinalpha)`
    B
    `(4cosalpha,4sinalpha)`
    C
    `(2cosalpha,2sinalpha)`
    D
    `(sinalpha,cosalpha)`
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