If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line (x + 1)/2 = (y - 3)/1 = (z + 2)/(- 1) and containing the line (x - 2)/3 = (1 - y)/2 = (z + 1)/1 is α x + β y + γ z = 24, then α + β + γ is equal to:

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 17 Mar, Evening shift · Q2429

JEE Main 202117 Mar, Evening shiftMathematicsHardThree Dimensional Geometry249× since 2002

If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line

{{x + 1} \over 2} = {{y - 3} \over 1} = {{z + 2} \over { - 1}}

and containing the line

{{x - 2} \over 3} = {{1 - y} \over 2} = {{z + 1} \over 1}

\alpha

x +

\beta

y +

\gamma

z = 24, then

\alpha

\beta

\gamma

is equal to :