Let a triangle PQR be such that P and Q lie on the line (x+3)/8=(y-4)/2=(z+1)/2 and are at a distance of 6 units from R(1,2,3). If (α,β,γ) is the centroid of Δ PQR, then α+β+γ is equal to:

Three Dimensional Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 5 Apr, Evening shift · Q14

JEE Main 20265 Apr, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let a triangle PQR be such that P and Q lie on the line

\frac{x+3}{8}=\frac{y-4}{2}=\frac{z+1}{2}

and are at a distance of 6 units from

R(1,2,3)

. If

(\alpha,\beta,\gamma)

is the centroid of

\Delta PQR

, then

\alpha+\beta+\gamma

is equal to :