Question

What are the foci of the graph y2 – 25x2 = 25?

Answer 1

Answer:
`\bold{(0,-√(26))\quad \&\quad (0,√(26))}`

Explanation:

`.\qquad y^2-25x^2=25\\\\\implies (y^2)/(25)-(25x^2)/(25)=(25)/(25)\\\\\\\implies (y^2)/(25)-(x^2)/(1)=1\\\\\\Center: (0, 0)\\Length\ of\ foci:25+1=c^2\implies √(26)=c\\Foci: (0,0\pm √(26))`