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Let A be the set of all points (alpha, b...

Let A be the set of all points `(alpha, beta)` such that the area of triangle formed by the points (5, 6), (3, 2) and `(alpha, beta)` is 12 square units. Then the least possible length of a line segment joining the origin to a point in A, is

A

`(8)/(sqrt(5))`

B

`(12)/(sqrt(5))`

C

`(4)/(sqrt(5))`

D

`(16)/(sqrt(5))`

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