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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.
![](https://gradeup-question-images.grdp.co/liveData/PROJ44538/1582093116992446.png)
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
![](https://gradeup-question-images.grdp.co/liveData/PROJ56516/1597752427656631.png)
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
![](https://gradeup-question-images.grdp.co/liveData/PROJ44538/1582093125163270.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ44538/1582093125826938.png)
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