JEE Main 2015 Mathematics question
The shortest distance between the -axis and the line , is
Answer: (2)
Solution
The -axis passes through the origin with direction . The second line is the intersection of two planes, so its direction is
= (1,1,2)×(2,3,4) = (1·4-2·3,\ 2·2-1·4,\ 1·3-1·2) = (-2,\ 0,\ 1).
To find a point on it, set : then and
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