Question

Ordinate of all points on the x-axis is
$
  (a){\text{ 0}} \\
  (b){\text{ 1}} \\
  (c){\text{ - 1}} \\
  (d){\text{ Any number}} \\
 $

Answer 1

Hint – In this question use the concept that on x-axis any general point can be written as $\left( {{x_n},0} \right)$. Application of this general point and the concept that y-axis is also known as ordinate we can get the right answer.

Complete Step-by-Step solution:

The ordinate is another name of y-coordinate.
Or ordinate refers to the vertical axis.
And we all know that the value y-coordinate is zero on x-axis including the origin as shown in figure.
So ordinate of all the points on the x-axis is zero.
So this is the required answer.
Hence option (A) is correct.

Note – X-axis is the horizontal line crossing the origin in x-y plane and making an angle of ${90^0}$with the y-axis at the origin. The same way any general point on the x-axis is known we can write any general point on the y-axis and in this case the abscissa will be 0, that is $\left( {0,{y_n}} \right)$. Abscissa is another name for the x axis, thus we need not to be confused.