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Further Mathematics
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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 4 4 3 (a) Determine (i) the value of k, (ii) the smallest value of θ M = 4 3 4 (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) Question 1 continued
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Institution
University Of The People
Course
Further Mathematics Advanced PAPER 1: Core Pure Ma
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Written for
- Institution
- University Of The People
- Course
- Further Mathematics Advanced PAPER 1: Core Pure Ma
Document information
- Uploaded on
- October 13, 2022
- Number of pages
- 36
- Written in
- 2022/2023
- Type
- Exam (elaborations)
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- centre the origin
- with scale factor k
-
1 the transformation p is an enlargement
-
where k gt 0 the transformation q is a rotation through angle θ degrees anticlockwise about the origin the transfo
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