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11. conic sections
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Q14 of 70 Page 262

In each of the, find the equations of the hyperbola satisfying the given conditions.

vertices ( 7,0), e =

vertices ( 7,0), e =


Here, the vertices are on the x- axis


Thus, the equation of the hyperbola is of the form


Since, the vertices are ( 7,0), a = 7


It is given that e =




We know that, a2 + b2 = c2


Thus,


72 + b2 =




Thus, the equation of the hyperbola is


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Questions · 70
11. conic sections
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