Question

Find the equation of a hyperbola if the foci at the points is (-3,5) and (5,5) and the length of the latus rectum is 2 root8

Answer 1

here's is your answer

thx

Answer 2

Answer:Foci ( 3, 0), the latus rectum is of length 8.

Here, the foci are on x-axis.

Thus,

The equation of the hyperbola is of the form  

Since, the foci are (), c=  

Length of latus rectum = 8

⇒  

⇒ b2 = 4a

We know that, a2 + b2 = c2

a2 + 4a = 45

⇒ a2 + 4a -45 = 0

⇒ a2 + 9a – 5a -45 = 0

⇒ (a +9)(a -5) = 0

⇒ A = -9,5

Since, a is non – negative, a = 5

Thus, b2 = 4a = 4 × 5 = 20

Hence, the equation of the hyperbola is  

like and mark as brainliest

Step-by-step explanation: