Further Mathematics
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
Escuela, estudio y materia
- Institución
- University Of The People
- Grado
- Further Mathematics Advanced PAPER 1: Core Pure Ma
Información del documento
- Subido en
- 13 de octubre de 2022
- Número de páginas
- 36
- Escrito en
- 2022/2023
- Tipo
- Examen
- Contiene
- Respuestas
Temas
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centre the origin
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with scale factor k
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1 the transformation p is an enlargement
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where k gt 0 the transformation q is a rotation through angle θ degrees anticlockwise about the origin the transfo