Let P(α, β, γ) be the image of the point Q(3,-3,1) in the line (x-0)/1=(y-3)/1=(z-1)/(-1) and R be the point (2,5,-1). If the area of the triangle PQR is λ and λ²=14 ~K, then K is equal to:

Three Dimensional Geometry: JEE Main 2024 Mathematics question

JEE Main 2024 · 6 Apr, Evening shift · Q2541

JEE Main 20246 Apr, Evening shiftMathematicsHardThree Dimensional Geometry249× since 2002

Let

\mathrm{P}(\alpha, \beta, \gamma)

be the image of the point

\mathrm{Q}(3,-3,1)

in the line

\frac{x-0}{1}=\frac{y-3}{1}=\frac{z-1}{-1}

and

\mathrm{R}

be the point

(2,5,-1)

. If the area of the triangle

\mathrm{PQR}

\lambda

and

\lambda^2=14 \mathrm{~K}

, then

\mathrm{K}

is equal to :