Let α ₁, α ₂ (α ₁ < α ₂) be the values of α fo the points (α, - 3), (2, 0) and (1, α) to be collinear. Then the equation of the line, passing through (α ₁, α ₂) and making an angle of (π)/3 with the positive direction of the x-axis, is:

Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 30 Jun, Morning shift · Q5523

JEE Main 202230 Jun, Morning shiftMathematicsHardCoordinate Geometry478× since 2002

Let

\alpha

₁,

\alpha

₂ (

\alpha

₁ <

\alpha

₂) be the values of

\alpha

fo the points (

\alpha

-

3), (2, 0) and (1,

\alpha

) to be collinear. Then the equation of the line, passing through (

\alpha

₁,

\alpha

₂) and making an angle of

{\pi \over 3}

with the positive direction of the x-axis, is :