JEE Mains 1-Feb-2023 Shift 2 Solved Paper

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 ‌

1−x

1

=‌

y+4

2

=‌

z+2

3

, then |a+b+c| is equal to _______.