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Learning Analytical/Coordinate/Cartesian Geometry
...from page 10
Every point in the coordinate plane is identified with its x and y coordinates. Knowing these coordinates a point can be located on the
Steps to locate or mark the point (x, y)
- Start at the origin of the plane (the point common to both the coordinate lines)
- Note the magnitude of the x-coordinate as well as its sign.
- If the x-coordinate is +ve move along the positive direction of the x-axis and if it is negative move along the negative direction of the x-axis.
- No. of units to move = magnitude of ‘x-coordinate’
- Note the magnitude and sign of the y-coordinate
- At the point you reached on the x-axis, if the y-coordinate is positive turn and move upwards and if the y-coordinate is negative turn and move downwards
- No. of units to move = magnitude of ‘y-coordinate’
| Eg: |
(a) |
To locate (5, 4)
Move along the positive direction of the x-axis (Since the x coordinate is +ve) by 5 units (Since the magnitude of the x coordinate is 5 units)
At that point turn upwards (Since y coordinate is +ve) and move 4 units (Since the magnitude of the y coordinate is 4 units)
The point you reach is the required point (5, 4) on the given coordinate system.
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(b) |
To Locate (-3, -2)
Move along the negative direction (since x coordinate is –ve) by 3 units (since the magnitude of x coordinate is 3 units)
At that point turn downwards (Since y coordinate is –ve) and move 2 units (Since the magnitude of the y coordinate is 2 units)
The point you reach is the required point (-3, -2) on the given coordinate system.
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