Question

if the focus of a parabola divides a focal chord of the parabola in segments of length 33 and 22, the length of the latus rectum of the parabola is

Answer 1

52.8

Explanation:

You want the length of the latus rectum of a parabola in which a focal chord has segments of length 22 and 33.

Relation

The relation between the length of the latus rectum (c) and the segments of a focal chord (a, b) is ...

c = 4ab/(a+b)

For the give focal chord, the latus rectum is ...

c = 4(22)(33)/(22 +33) = 52.8

The length of the latus rectum is 52.8 units.

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