Question

Select the correct option from the given alternatives:

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

Options

• 4

• 6

• 8

• 10

Answer 1

8

Explanation:

Hint: The given equation can be written as:

x² – 4x + 4 = 8y – 12 + 4

∴ (x – 2)² = 8(y – 1)

This is of the form X² = 4bY, where 4b = 8

∴ l(L.R.) = 4b = 8