Question

The coordinates of the foci of the hyperbola - y2 -16x2 =16 are -

​

Answer 1

Given :

y² - 16x²  = 16 hyper bola

To Find : coordinates of the foci of the hyperbola

Solution:

y² - 16x²  = 16

=> y²/16 - x²/1  = 1

=> y²/4²  - x²/1² = 1

Vertical hyperbola

y²/a²  - x²/b² = 1

a = 4

b = 1

c² = a² + b²   = 16 + 1 = 17

c =  √17

Foci = ( 0 ,  ±c)

( 0 ,  ±√17)

= ( 0 , √17) , ( 0 , - √17)

( 0 ,  ±√17)  is the correct option

Learn More:

A hyperbola has its centre at the origin, passes through the point (4 ...

https://brainly.in/question/16030406

Find the equation of hyperbola x^2/36- y^2/9=1 at the point whose ...

https://brainly.in/question/14927699