5 Find the center and vertices of the hyperbol a 4y225x2 10

5. Find the center and vertices of the hyperbol a 4y2-25x2 = 100 and id entify its center

Solution

4y²-25x²=100

y²/25 - x²/4=1

Here a=5 , b=2

c=sqrt(a²+b²) =sqrt(25 +4)=sqrt29

center (0,0)

vertices (h, k+-a) =(0,0+-5) =(0,-5),(0,5)