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Let A be the set of two points (h, k) su...

Let A be the set of two points (h, k) such that the area of triangle formed by (h, k) , (5, 6 ) and (3, 2) is 12 square units. If 'L' be the least possible length of a line segment joining (0, 0) to a point in A, the value of `sqrt5`L =

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