Let P be the plane passing through the line (x-1)/1=(y-2)/(-3)=(z+5)/7 and the point (2,4,-3). If the image of the point (-1,3,4) in the plane P is (α, β, γ) then α+β+γ is equal to:

Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 8 Apr, Evening shift · Q2471

JEE Main 20238 Apr, Evening shiftMathematicsHardThree Dimensional Geometry249× since 2002

Let

\mathrm{P}

be the plane passing through the line

\frac{x-1}{1}=\frac{y-2}{-3}=\frac{z+5}{7}

and the point

(2,4,-3)

. If the image of the point

(-1,3,4)

in the plane P is

(\alpha, \beta, \gamma)

then

\alpha+\beta+\gamma

is equal to :