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  • If (5,12) and (-9,12) are the foci of the hyperbola passing through the point (0,12) , its eccentricity isOption: 1 4<div cla

If (5,12) and (-9,12) are the foci of the hyperbola passing

through the point (0,12) , its eccentricity is

Option: 1

4


Option: 2

3


Option: 3

8


Option: 4

2


Answers (1)

best_answer

The equation of hyperbola is 

\mathrm{\begin{aligned} & (x-3)(y-2)=c^2 \\ & x y-2 x-3 y+6=c^2 \end{aligned}}

It passes through (4,6)

\mathrm{4 \times 6-2 \times 4-3 \times 6+6=c^2}

or  C=2

Latus rectum \mathrm{=2 \sqrt{2} c=2 \sqrt{2} \times 2=4 \sqrt{2}}

 

Posted by

himanshu.meshram

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