1.

Find the equations of the hyperbola whose foci are (±5, 0) the transverse axis is of length 8.

Answer»

Foci are S(±5,0) ∴ ae = 5 

Length of transverse axis = 2a = 8, a = 4 

e = 5/4

b2 = a2 (e2 – 1) = 16(25/6 - 1) = 9 

Equation of the hyperbola is x2/16 – y2/9 = 1 

9x2 – 16y2 = 144.



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