Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when (i) A coincides with the origin and AB and AD are along OX and OY respectively. (ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively

Explanation

To solve the problem, we will find the coordinates of the vertices of the square ABCD based on the given conditions.

### Part (i): A coincides with the origin, and AB and AD are along OX and OY respectively.

1. **Identify the coordinates of point A**: Since point A coincides with the origin, its coordinates are:
\[ A(0, 0) \]
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