PEARSON (PEARSON) • PAPER 1: Core Pure Mathematics 1
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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 −4 −4 3 M = 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...
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PEARSON•PAPER 1: Core Pure Mathematics 1
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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 −4 −4 3 M = 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...