Question

The length of the latus rectum of the parabola x² − 4x − 8y + 12 = 0 is

Options

• 4

• 6

• 8

• 10

Answer 1

8

Explanation:

The given equation of the parabola is
x² − 4x − 8y + 12 = 0
⇒ x² − 4x + 4 = 8y − 12 + 4
⇒ (x − 2)² = 8(y − 1)
Hence, the length of the latus rectum = 4a = 8.