Mathematics · 2021
JEE Main · 31 August 2021, Shift 2 · Q72
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…
Let A be the set of all points $\displaystyle (\alpha, \beta)$ such that the area of triangle formed by the points $\displaystyle (5,6)$, $\displaystyle (3,2)$ and $\displaystyle (\alpha, \beta)$ is $\displaystyle 12$ square units. Then the least possible length of a line segment joining the origin to a point in A, is :
Official answer
(1)
$\displaystyle \frac{8}{\sqrt{5}}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.