Mathematics

Mathematics

Problem

A student records the following information for the ellipse x249+y216=1\dfrac{x^{2}}{49}+\dfrac{y^{2}}{16}=1: (i) Centre: (0,0)(0,0) (ii) Vertices: (±7,0)(\pm 7,0) (iii) Co-vertices: (0,±4)(0,\pm 4) (iv) Foci: (0,±33)(0,\pm \sqrt{33}) Which line contains an error? a) Only (ii) b) None; all four lines are correct c) Only (iv) d) Both (ii) and (iii)

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