Question

Write the abscissa and ordinate of the following point. \[\left( {5,0} \right)\]
A.Abscissa: \[5\]
Ordinate: \[0\]
B.Abscissa: \[0\]
Ordinate: \[5\]
C.Abscissa: \[0\]
Ordinate: \[0\]
D.None of these

Answer 1

Hint: The given question is to write the abscissa and ordinate of given points. It means from the given point, we will write the abscissa and ordinate of the given point. Abscissa and ordinates are the points on \[x - axis\] and \[y - axis\] respectively.

Complete step-by-step answer:
 The given question is to write the abscissa and ordinate of given point which \[\left( {5,0} \right)\] it means \[\left( {5,0} \right)\] is the given point and we have to write the abscissa and ordinate.
Abscissa is nothing but the value of \[x\] (which is on \[x - axis\]) of the point and ordinate is the value of \[y\] (which is on \[y - axis\]) of the point.
For example, let \[\left( {p,q} \right)\]be any point in the first quadrant. We can take examples of points on any of the quadrants. Therefore abscissa is the value of \[x\] in the point which is \[P\] and ordinate is the value of \[y\] in the point which is \[q\]. Therefore the abscissa and ordinate of the point \[\left( {p,q} \right)\]is \[P\] and \[Q\] respectively.
The given point is \[\left( {5,0} \right)\].
Since abscissa is the value of \[x\] in the point which is \[5\] and ordinates the value of \[y\] in the point which is \[0\] .
Which means abscissa is \[5\] and ordinate is \[0\] of the point \[\left( {5,0} \right)\]. Let us check it by given options .
In \[\left( i \right)\], abscissa is \[5\] and ordinate is \[0\] which is correct.
In \[\left( {ii} \right)\], abscissa is \[0\] and ordinate is \[5\] which is wrong.
In \[\left( {iii} \right)\], abscissa is \[0\] and ordinate is \[0\] which is \[0\] which is wrong.
In \[\left( {iv} \right)\], none of these, which is also incorrect.
So, the option \[\left( A \right)\] is correct.

Note: Since he gave point \[\left( {5,0} \right)\]in which the abscissa is \[5\] and ordinate is \[0\]. It means we can say in the point, there is only the value of \[x\] whereas there is no value of y which is zero. Hence we can say that the point \[\left( {5,0} \right)\] is on \[x - axis\] because in this ordinate is \[0\].