Explanation:

- Basu's journey:

- Starts at point C, walks north 3m to E.

- Turns right, walks east 3m, and turns right at D.

- Walks south 7m, turns left at G, then north 5m to F.

- Turns left, walks west 3m, turns right at N, and north 6m to reach A.

- Vinay's journey:

- Starts at point X, walks north 9m to Z.

- Turns left, walks west 6m, and turns left at Y.

- Walks south 4m, turns left at P, and east 9m to Q.

- Turns right, walks south 2m to reach A.

- To calculate the distance from A (Vinay's final point) to X (initial point):

- From A to X, Vinay needs to cover 6m east, then 2m north.

- By Pythagoras’ theorem, the shortest path (hypotenuse) is:

- $\sqrt{(6^2+2^2)}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}$.

- None of the given options match $2\sqrt{10}$. However, assuming options might represent scaled-down forms, check:

- Option 2: $\sqrt{3}\times \sqrt{2}=\sqrt{6}$ is approximately 2.45, not matching.

- Correct option is not explicitly given, but calculation shows $2\sqrt{10}$ is accurate.

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