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Hyperbola question

2016 · 9 Apr · Shift 1 · Q33

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JEE Main
Mathematics
Hyperbola
2016 · 9 Apr · Shift 1 · Q33

Hyperbola question

2016 · 9 Apr · Shift 1 · Q33

JEE MainMathematicsHyperbolaMCQ+4 / −1

Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e2 − 18e + 5 = 0. If S(5, 0) is a focus and 5x = 9 is the corresponding directrix of this hyperbola, then a2 − b2 is equal to :

A
7
B
$-$ 7
C
5
D
$-$ 5

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