Answer: The correct option is (2) (a, b).
Step-by-step explanation: We are given to find the co-ordinates of the point 'P' for the rectangle shown in the figure without using any new variable.
Since we are dealing with a rectangle, so each of its angle is a right angle. Hence, each side of the given rectangle is perpendicular to its adjacent side.
Also, the distance of a point from a line is the length of the perpendicular drawn from the point to the line.
So, we can see from the attached figure below that
Point 'P is at a distance of 'b' units from X-axis and 'a' units from Y-axis.
The distance of a point 'P' from Y-axis is its x co-ordinate the distance of 'P' from X-axis is its y co-ordinate.
Therefore, the co-ordinates of the point P will be
(distance of P from Y-axis, distance of P from X-axis)
= (a, b).
Thus, the correct option is (2) (a, b).
