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NDA | Mathematics | Hyperbola

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Question 1

Find the equation of hyperbola whose eccentricity is  and the distance between the foci is 16 unit. Given transverse and conjugate axis of the hyperbola are x-axis and y-axis respectively.

Question 2

If e­1 and e2 are the eccentricities of two conjugate hyperbolas , then

Question 3

The equations of the asymptotes of the hyperbola  are

Question 4

Write the standard equation for the hyperbola with the given characteristics Centre (2, 3), vertices ( -1, 3) (5, 3), co-vertices (2, -2) (2, 8)

Question 5

Find the points where the line  touches the hyperbola
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Apr 25NDA