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Find the new coordinates of (2,3) if (...

Find the new coordinates of `(2,3)` if
(i) Origin is shifted to `(1,1)`
(ii) Axis are rotated by an angle of `45^(@)` in anticlockwise sence.

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AI Generated Solution

To find the new coordinates of the point (2, 3) after shifting the origin and rotating the axes, we will follow these steps: ### Part (i): Shifting the Origin to (1, 1) 1. **Identify the original coordinates and the new origin**: - Original coordinates: \( (x, y) = (2, 3) \) - New origin: \( (h, k) = (1, 1) \) ...
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