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The tangents to the curve y = (x – 2) 2 – 1 at its points of intersection with the line x – y = 3, intersect at the point :

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 – , 2 5
2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 – , 2 5 –
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 , 2 5
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 , 2 5 –

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 1 – , 2 5

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