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JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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Let A be the set of all points (α,β)\left( {\alpha ,\beta } \right) such that the area of triangle formed by the points (5, 6), (3, 2) and (α,β)\left( {\alpha ,\beta } \right) is 12 sq units. Then, the least possible length of a line segment joining the origin to a point in A, is
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Correct option: C
85\frac{8}{{\sqrt 5 }}
Option C (85\frac{8}{{\sqrt 5 }}) is correct because it represents the minimum distance from the origin to a point on the line formed by the given area condition.

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