9709 P12 - Mar 2017 - Q9
1181
The point A (2, 2) lies on the curve \(y = x^2 - 2x + 2\).
(i) Find the equation of the tangent to the curve at A.
The normal to the curve at A intersects the curve again at B.
(ii) Find the coordinates of B.
The tangents at A and B intersect each other at C.
(iii) Find the coordinates of C.
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