Question

What is the value of b?

Answer 1

b = 10

Explanation:

We know

x^2 / (24^2) - y^2/ ( b^2) = 1

equation: directrix x = a^2 / c = 576/26

a = 24

24^2/ c = 576/26

c = 26

so a^2 + b^2 = c^2

so 24^2 + b^2 = 26^2

b^2 = 26^2 - 24^2 = 100

b = 10