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  • If (5,12) and (-9,12) are the foci of the hyperbola passing through the point (0,12), its eccentricity is Option: 1 7/2<

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

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

Option: 1

7/2


Option: 2

-7/2


Option: 3

9/2


Option: 4

-9/2


Answers (1)

\mathrm{S_1 \equiv(-9,12), S \equiv(5,12)}

Centre is the midpoint of  \mathrm{S_1 S}

Centre = C(-2,12), P(0,12).

\mathrm{\begin{aligned} & \therefore \quad a=C P=2 \\ & \Rightarrow 2 a e=S_1 S=14 \\ & \therefore \quad e=\frac{7}{a}=\frac{7}{2} . \end{aligned}}

Posted by

Ramraj Saini

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