If the shortest distance between the line x-1 = y+1 -1 = z1, ( -1), and x+y+z+1 = 0 = 2x-y+z+3 is 1 3 , then value of is :

JEE Main 2015 Mathematics question

If the shortest distance between the line , , and is , then value of is :

(1)
(2)Correct
(3)
(4)

Answer: (2)

Solution

The first line has point and direction . The second line is the intersection of two planes, so its direction is . For a point on it, set : then and ; adding, $3x+4 =

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Question ID VK-115312