Let A be the set of points (α, β) forming a triangle… | Straight Lines

JEE Main 2021

31-08-2021 S1

Question

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 :

Select the correct option:

$\frac{4}{\sqrt{5}}$

$\frac{16}{\sqrt{5}}$

$\frac{8}{\sqrt{5}}$

$\frac{12}{\sqrt{5}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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