Plot point `P(1, 0), Q (4,0) and S(1, 3)`. Find the coordinates of `R` so that `PQRS` is a square.

Explanation

In points P(1,0), y-coordinate is zero, so it lies on X-axis . In point Q(4,0) , y-coordnate is zero so it lies on X-axis . In Point S(1,3), both coordinates are positive, so it lies in I quadrant. On plotting these points , we get the following graph.

Now, take a point R on the graph such that PQRS is a square. Then, all sides will be equal i.e., PQ=QR=RS=PS. So, abscissa of R should be equal to abscissa of Q i.e., 4 and ordinate of R should be equal to ordinate of S i.e., 3. Hence , the coordinates of R are (4,3).