What is the value of y-coordinate on X-axis?
A. $ 0 $
B. $ 1 $
C. $ ( - 1) $
D. Same as X-axis
Answer
619.2k+ views
Hint: asic concept of $ 2 - $ dimensional plane or $ x - y - plane $
Cartesian coordinate system:
A Cartesian coordinate system in two dimensions (also called rectangular coordinate system) is defined by an ordered pair of perpendicular lines (axis), a single unit of length for both axis, and an orientation for axis. The point where the axis meets is taken as the origin for both, thus turning each axis into a number line.
Complete step-by-step answer:
For any point P, a line is drawn through P perpendicular to each axis, and the position where it meets the axis is interpreted as a number. The two numbers, in the chosen order, are the Cartesian coordinates of P. The reverse construction allows one to determine the point P given its coordinates.
The first and second coordinates are called the abscissa and the ordinate of P, respectively.
Ex. $ (2,3) $
$ 2 \to $ abscissa $ \to $ unit distance from origin towards positive x-axis.
$ 3 \to $ $ 3 $ unit distance from origin towards positive y-axis.
In our question ,
we have to find the value of y-coordinate i.e ordinate on x-axis.
As we know x-axis is perpendicular to y-axis
So, on x-axis, the value of y-coordinate is zero.
Ex. Take any point on x-axis say $ P(2,0) $
So the value of y-coordinate is zero.
Note: At any point on x-axis, y-coordinate $ = 0 $
Similarly At any point y-axis, x-coordinate $ = 0 $
Therefore we write the equations of the coordinate axes are x = 0 and y = 0. To be more specific, the equation of X axis is y=0 and that of Y axis is x=0.
Cartesian coordinate system:
A Cartesian coordinate system in two dimensions (also called rectangular coordinate system) is defined by an ordered pair of perpendicular lines (axis), a single unit of length for both axis, and an orientation for axis. The point where the axis meets is taken as the origin for both, thus turning each axis into a number line.
Complete step-by-step answer:
For any point P, a line is drawn through P perpendicular to each axis, and the position where it meets the axis is interpreted as a number. The two numbers, in the chosen order, are the Cartesian coordinates of P. The reverse construction allows one to determine the point P given its coordinates.
The first and second coordinates are called the abscissa and the ordinate of P, respectively.
Ex. $ (2,3) $
$ 2 \to $ abscissa $ \to $ unit distance from origin towards positive x-axis.
$ 3 \to $ $ 3 $ unit distance from origin towards positive y-axis.
In our question ,
we have to find the value of y-coordinate i.e ordinate on x-axis.
As we know x-axis is perpendicular to y-axis
So, on x-axis, the value of y-coordinate is zero.
Ex. Take any point on x-axis say $ P(2,0) $
So the value of y-coordinate is zero.
Note: At any point on x-axis, y-coordinate $ = 0 $
Similarly At any point y-axis, x-coordinate $ = 0 $
Therefore we write the equations of the coordinate axes are x = 0 and y = 0. To be more specific, the equation of X axis is y=0 and that of Y axis is x=0.
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