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JEE Math Practice Question

The shortest distance, between lines $$L_1$$ and $$L_2$$, where $$L_1: \frac{x-1}{2}=\frac{y+1}{-3}=\frac{z+4}{2}$$ and $$L_2$$ is the line, passing through the points $$\mathrm{A}(-4,4,3), \mathrm{B}(-1,6,3)$$ and perpendicular to the line $$\frac{x-3}{-2}=\frac{y}{3}=\frac{z-1}{1}$$, is

  1. A.$$\frac{141}{\sqrt{221}}$$
  2. B.$$\frac{24}{\sqrt{117}}$$
  3. C.$$\frac{42}{\sqrt{117}}$$
  4. D.$$\frac{121}{\sqrt{221}}$$

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