The shortest distance between the lines x2 = y2 = z1 and x+2 -1 = y-4 8 = z-5 4 , lies in the interval:

JEE Main 2016 Mathematics question

The shortest distance between the lines and , lies in the interval:

Answer: (2)

The first line passes through the origin with direction ; the second passes through with direction . Their cross product is

× = (2·4-1·8,\ 1·(-1)-2·4,\ 2·8-2·(-1)) = (0, -9, 18),

with magnitude $\

Create a free account to read the complete working (5 steps), and practise questions like this in a timed test.

Question ID VK-115581