2. Find the standard equation of the hyperbola which satisfies the given condi-tions.(a) foci (-4, -3) and (-4, 13), the absolute value of the difference of thedistances of any point from the foci is 14(y - 5)2 (z+4)²– 5)?Answer:4915(b) vertices (-2,8) and (8, 8), a focus (12, 8)(r-3)2(y - 8)23D1Answer:2556(c) center (-6, 9), a vertex (-6, 15), conjugate axis of length 12(y – 9)2(r+ 6)²3D1Answer:%3D2536(d) asymptotes y = + and y = -+, a vertex (-1,7)%3D3(r-5)2(y- 7)21Answer:3664

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2. Find the standard equation of the hyperbola which satisfies the given condi- tions. (a) foci (-4, -3) and (-4, 13), the absolute value of the difference of the distances of any point from the foci is 14 (y - 5)2 (r+4)² 3D1 Answer: - %3D 49 15 (b) vertices (-2,8) and (8, 8), a focus (12, 8) (x-3)2 (y- 8)2 1 Answer: 25 56 (c) center (-6,9), a vertex (-6, 15), conjugate axis of length 12 (y – 9)² (r+6)² 1 Answer: 25 36 (d) asymptotes y = + and y = -r+, a vertex (-1,7) %3D %3D | 3 (* – 5) (y- 7)2 Answer: :1 36 64