Question

Please solve this question
Chapter = Hyperbola

Answer 1

Given:Coordinates of foci (8,3) and (0,3)

It is clear from the coordinates that they are shifted parabola in which transverse axis is parallel to x axis

Now

We have given that value of eccentricity =4/3

And we know the distance between foci is 2ae

Clearly distance between them is 8

=>2ae=8

=>ae=4

=>a(4/3)=4

=>a=3

b²=a²(e²-1)

b²=9(16/9-1)

b²=7

now we have equation of hyperbola = (X-4)²/9-(Y-3)²/7=1 where center≡(4,3)

this is shifted hyperbola