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Question

The equation of the hyperbola, referred to its axes as axes of coordinates, given that the distance of one of its vertices from the foci are 9 & 1 units is

A
x216y29=1
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B
x29y216=1
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C
x216y29=1
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D
x29y216=1
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Solution

The correct option is A x216y29=1
Given, (aea)=1
(a+ae)=9
e1e+1=19
(e+1+e1)(e+1)(e1)=(9+1)(91)
e=108
e=5/4
a=4
x216y29=1

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