# The length of latus rectum of a parabola, whose focus is (2, 3) and directrix is the line x – 4y + 3 = 0 is

## Solution :

The length of latus rectum = 2 x perpendicular from focus to the directrix

= 2 x |$${2-4(3)+3}\over {\sqrt{1+16}}$$| = $$14\over \sqrt{17}$$

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