Find the shortest distance between the lines

Question

Philoid · Accepted Answer

We know that

Shortest distance between two lines and is

…(i)

Here, , and

,

Now,

…(ii)

Now,

⇒

……….(iii)

……….(iv)

Now,

……….(v)

Now, using (i), we have

The shortest distance between the two lines, d [From (iv) and (v)]

⇒

Rationalizing the fraction by multiplying the numerator and denominator by √2,

⇒