Pearson Edexcel Level 3 GCE 9FM0/3A 2022 Further Mathematics Advanced PAPER 3A: Further Pure Mathematics 1

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An ellipse has equation x y 2 2 16 4   1 and eccentricity e 1 A hyperbola has equation x a yb 2 2 2 2   1 and eccentricity e 2 Given that e 1 × e 2 = 1 (a) show that a 2 = 3b�... ��2 (4) Given also that the coordinates of the foci of the ellipse are the same as the coordinates of the foci of the hyperbola, (b) determine the equation of the hyperbola. (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ __________________________________________ [Show More]

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