Mathematics > QUESTION PAPER & MARK SCHEME > Pearson Edexcel Level 3 GCE,.Further Mathematics Advanced PAPER 1: Core Pure Mathematics 1. Approved (All)

Pearson Edexcel Level 3 GCE,.Further Mathematics Advanced PAPER 1: Core Pure Mathematics 1. Approved pass Rate.

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1. The transformation P is an enlargement, centre the origin, with scale factor k, where k > 0 The transformation Q is a rotation through angle θ degrees anticlockwise about the origin. The transformation P followed by the transformation Q is represented by the matrix M = − − −   4 4 3 4 3 4 (a) Determine (i) the value of k, (ii) the smallest value of θ (4) A square S has vertices at the points with coordinates (0, 0), (a, –a), (2a, 0) and (a, a) where a is a constant. The square S is transformed to the square S′ by the transformation represented by M. (b) Determine, in terms of a, the area of S′ (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________*P66796A0336* Turn over 3 Question 1 continued

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