If the line segment joining the points … and … subtends an angle … at the origin, then the absolute value of the product of all possible values of … is :

Option A. To solve this problem, we will use the concept of the slope and tangent of the angle subtended by the line segments at the origin.

Straight Lines and Pair of Straight Lines

JEE Main 2024 · 8 Apr, Evening shift · Q5506

MathematicsHard128×since 2002Q5506

If the line segment joining the points

(5,2)

and

(2, a)

subtends an angle

\frac{\pi}{4}

at the origin, then the absolute value of the product of all possible values of

a

is :