During derivation

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

During derivation, a student arrives at the equation

\dfrac{x^{2}}{49}+\dfrac{y^{2}}{k}=1

for an ellipse whose distance between the foci is

12

units. What value of

k

must the student substitute to make the derivation consistent? (a)

37

(b)

13

(c)

61

(d)

36

Related theory

Ellipse
Conic Sections
Coordinate Geometry
Ellipse standard equation

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