A garden is in the shape of a square. The gardener grew saplings of Ashoka tree on the boundary of the garden at the distance of \(1 \ m\) from each other. He wants to decorate the garden with jasmine plants. He chose a triangular region inside the garden to grow jasmine plants. In the above situation, the gardener took help from the students of class \(10\). They made a chart for it which looks like the given figure.
Based on the above, answer the following questions:
(i) If \(A\) is taken as origin, what are the coordinates of the vertices of \(\Delta PQR\)?
(ii) (a) Calculate distances \(PQ\) and \(QR\).
OR
(b) Calculate the coordinates of the point which divides the line segment joining points \(P\) and \(R\) in the ratio \(2 : 1\) internally.
(iii) Calculate out if \(\Delta PQR\) is an isosceles triangle.