.
COORDINATE GEOMETRY
SOME
IMPORTANT POINTS TO REMEMBER
·
To locate the position of a point or an object
in a plane, we require two perpendicular lines, one of them is horizontal and
another is vertical.
·
The plane is called the
Cartesian or coordinate plane and the lines are called coordinate axes or
rectangular axes.
·
Horizontal line is
called x-axis and the vertical line is called the y-axis.
·
The coordinate axes
divide the plane into four parts called quadrants.
·
The perpendicular
distance of a point from the y-axis is called its abscissa or x-coordinate and
the perpendicular distance of the point from the x-axis is called its ordinate
or y-coordinate.
·
The abscissa of a point
is x and the ordinate is y, then (x, y) are called the coordinates of the
point.
·
The abscissa of
every point on y-axis is zero.
·
x-axis and y-axis
intersect at origin and its coordinates are(0,0). II I
·
The coordinates
of a point are of the form(+ ,+) in the first quadrant, (-,+) (+,+)
(- , + ) in the second quadrant, (-
,-) in the third quadrant and (+ , -)
in the fourth quadrant. III IV
If x≠ y, then (x,
y) ≠ (y , x). (-,-) (+,-)
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