The shortest distance between the line x-1/2 = y+1/4 = z-1/3 and 2x-1/5 = y-2/3 = z/6 is equal to

Question

The shortest distance between the line \(\frac{x - 1}2 = \frac{y + 1}4 = \frac{z - 1}3 \) and \(\frac{2x - 1}5 = \frac{y -2}3 = \frac{z }6\) is equal to

(1) 10 unit

(2) \(\frac 7{10}\) unit

(3) 0 unit

(4) \(\frac{34}{\sqrt{1045}}\) unit

Answer 1

Correct option is (4) \(\frac{34}{\sqrt{1045}}\) unit