Question
Question: If centre, vertex & focus of hyperbola are (2, 0) (4, 0) & (8, 0) then length of latus rectum...
If centre, vertex & focus of hyperbola are (2, 0) (4, 0) & (8, 0) then length of latus rectum
A
32
B
24
C
16
D
None of these
Answer
32
Explanation
Solution
Distance between centre & vertex = a = 2
Distance between foci & centre = ae = 6
Ž e = 3
b2 = a2(e2 – 1) = 4(9 – 1) = 32
Latus Rectum = a2b2 = 22×32 = 32