Find the shortest distance between the lines  and 

Concept:

The shortest distance between the lines   and  is given by:

Calculation:

Here we have to find the shortest distance between the lines ​​ and 

Let line L₁ be represented by the equation  and line L₂ be represented by the equation 

⇒ x1 = 0, y1 = 2, z1 = 0  and a1 = -1, b1 = 0, c1 = 1.

⇒ x2 = -2, y2 = 0, z2 = 0  and a2 = 1, b2 = 1, c2 = 0.

∵ The shortest distance between the lines is given by:  

⇒     

⇒ 

⇒ d = 0

Hence, option 4 is correct.