If the distances of the point (1,2,a) from the line (x-1)/1=y/2=(… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 28 January, Shift 1Equation of Line in 3D

If the distances of the point $(1,2,a)$ from the line $\frac{x-1}{1}=\frac{y}{2}=\frac{z-1}{1}$ along the lines $L_1:\ \frac{x-1}{3}=\frac{y-2}{4}=\frac{z-a}{b}$ and $L_2:\ \frac{x-1}{1}=\frac{y-2}{4}=\frac{z-a}{c}$ are equal, then $a+b+c$ is equal to:

A
$5$
B
$6$
C
$4$
D
$7$

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