JEE Main 2023 Mathematics question

The point of intersection C of the plane 8x + y + 2z = 0 and the line joining the points A(–3, –6, 1) and B(2, 4, –3) divides the line segment AB internally in the ratio k : 1. If a, b, c (|a|, |b|, |c| are coprime) are the direction ratios of the perpendicular from the point C on the line , then |a + b + c| is equal to .