Correct Answer - Option 2 : 64
Concept:
Parabola:
The length of latus rectum of the parabola x2 = 4ay is given by: 4a
Calculation:
Given: x2 = 64y
The given equation can be written as, x2 = 4 ⋅ 16 ⋅ y
By comparing the above equation with the standard equation of the parabola, x2 = 4ay we get
⇒ a = 16
As we know that, the length of latus rectum of the parabola x2 = 4ay is given by: 4a
⇒ 4a = 64
Hence, the correct option is 2.
