Let L be the line (x+1)/2=(y+1)/3=(z+3)/6 and let S be the set of all points (a, b, c) on L, whose distance from the line (x+1)/2=(y+1)/3=(z-9)/0 along the line L is 7. Then Σ (a,b,c) S (a+b+c) is equal to:

Three Dimensional Geometry: JEE Main 2026 Mathematics question

JEE Main 2026 · 22 Jan, Evening shift · Q4

JEE Main 202622 Jan, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let

L

be the line

\frac{x+1}{2}=\frac{y+1}{3}=\frac{z+3}{6}

and let

S

be the set of all points

(a, b, c)

L

, whose distance from the line

\frac{x+1}{2}=\frac{y+1}{3}=\frac{z-9}{0}

along the line

L

7

. Then

\sum_{(a,b,c)\in S}(a+b+c)

is equal to :