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Hyperbola question

2022 · 25 Jul · Shift 2 · Q32

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JEE Main
Mathematics
Hyperbola
2022 · 25 Jul · Shift 2 · Q32

Hyperbola question

2022 · 25 Jul · Shift 2 · Q32

JEE MainMathematicsHyperbolaMCQ+4 / −1

Let the foci of the ellipse

\frac{x^{2}}{16}+\frac{y^{2}}{7}=1

and the hyperbola

\frac{x^{2}}{144}-\frac{y^{2}}{\alpha}=\frac{1}{25}

coincide. Then the length of the latus rectum of the hyperbola is :

A
$\frac{32}{9}$
B
$\frac{18}{5}$
C
$\frac{27}{4}$
D
$\frac{27}{10}$

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