Question:
What is the distance between the two foci of the hyperbola 25×2 – 75y2 = 225?
What is the distance between the two foci of the hyperbola 25×2 – 75y2 = 225?
Options:
- a) 23 units
- b) 43 units
- c) 6 units
- d) 26 units
- a) 23 units
- b) 43 units
- c) 6 units
- d) 26 units
correct answer : b)
Explanation:
25×2 – 75y2 = 225
x y2 2
93-
= 1
\ a2 = 9 and b2 = 3
c2 = a2 + b2 = 9 + 3 = 12
c = 23
Distance between the two foci = 2c = 43
25×2 – 75y2 = 225
x y2 2
93-
= 1
\ a2 = 9 and b2 = 3
c2 = a2 + b2 = 9 + 3 = 12
c = 23
Distance between the two foci = 2c = 43