Q33 / 60 · IAT (IISER) 2024 · Mathematics

Consider the lines $L_1$ and $L_2$ given below:
$\begin{aligned}<br/>& L_1: x=2+\lambda, \quad y=3+2 \lambda, \quad z=4+3 \lambda \\<br/>& L_2: x=4+\lambda, \quad y=4, \quad z=4+\lambda<br/>\end{aligned}$
If $(2,3,4)$ is the point of $L_1$ that is closest to $L_2$, then which point of $L_2$ is closest to $L_1$ ?

  • Correct answer
    A
    $(3,4,3)$
  • B
    $(3,4,4)$
  • C
    $(4,4,4)$
  • D
    $(5,4,5)$

Hence, the correct answer is option: 'A'.

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