To find the coordinate of origin
$\begin{align}
  & \text{a) (0,1)} \\
 & \text{b) (1,0)} \\
 & \text{c) (0,0)} \\
 & \text{d) (1,1)} \\
\end{align}$

Hint: Now origin is the intersection of x and y-axis. It is the reference point of any graph. The origin is the reference point of the graph. Each point on the x-axis, y-axis, and anywhere in the x-y plane is in reference to an origin. Hence basically any point on the graph is in reference to the origin.
The Origin is the center of any graph and is the intersection point of the axis.

Complete step-by-step solution:
Now the equation of x-axis is y = 0. And the equation of the y-axis is x = 0. Hence the point of intersection of the two-axis will be
x = 0 and y = 0 hence the coordinate of this point will be (0, 0).
Hence, the coordinate of origin is (0, 0).
Hence, option c is the correct option.


Note: Since the origin is a reference point it will always be (0, 0). At any point which is represented as (a, 0) where ‘a’ arbitrary is any number will lie on the x-axis but not on the y-axis. Similarly, any point (0, b) where b is an arbitrary number will lie on the y-axis but not the x-axis. Also, any point (a, b) where a is an arbitrary number, as well as b, is an arbitrary number will not lie on the x-axis as well as the y-axis. Hence the intersection of the axis will have to be (0, 0).