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Question

Equation of hyperbola whose axes are parallel to coordinate axis with e=2 and having distance between the foci as 1 unit is :

A
y2x2=18
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B
x2y2=5
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C
y2x2=5
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D
x2y2=18
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Solution

The correct options are
A y2x2=18
D x2y2=18
Given,
If transverse axis along x axis and conjugate along y axis
e=2 and 2ae=1
a=122
b2=a2(e21)
b2=18(21)
b2=18
Then the equation of hyperbola is
x218y218=1
x2y2=18
If transverse axis is along y-axis and conjugate axis is along x axis, then equation of hyperbola is
y2x2=18

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