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

Coordinate Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 31 Aug, Evening shift · Q5519

JEE Main 202131 Aug, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

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 :

JEE Main 2021 · 31 Aug, Evening shift · Q5519

JEE Main 202131 Aug, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

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 :