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Let a and b respectively be the semi-tra...

Let a and b respectively be the semi-transverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation `9e^2 - 18e + 5 = 0`. If `S(5,0)` is a focus and `5x = 9` is the corresponding directrix of this hyperbola, then `a^2 - b^2` is equal to

A

`-7`

B

`-5`

C

5

D

7

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MCGROW HILL PUBLICATION-HYPERBOLA-QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS
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  13. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

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  19. A hyperbola has its centre at the origin, passes through the point (4,...

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