The length of the latus - rectum of the parabola y2 + 8x – 2y + 17 = 0 is
Given equation of the parabola is y2 + 8x - 2y + 17 = 0
⇒ y2 - 2y + 17 = - 8x
⇒ y2 - 2y + 1 = - 8x - 16
⇒ (y - 1)2 = - 8(x + 2)
Comparing with standard form of parabola (y - a)2 = - 4b(x - c) we get,
⇒ 4b = 8
We know that the that the length of the latus rectum is 4b.
∴The correct option is C