JEE Main 2024 Mathematics question
Consider the line L passing through the points (1, 2, 3) and (2, 3, 5). The distance of the point (11/3, 11/3, 19/3) from the line L along the line (3x − 11)/2 = (3y − 11)/1 = (3z − 19)/2 is equal to :
Answer: (A)
Solution
L has direction (1, 1, 2): (x − 1)/1 = (y − 2)/1 = (z − 3)/2 = λ, so B = (1 + λ, 2 + λ, 3 + 2λ) on L. The given line has direction ratios (2, 1, 2) (from (3x − 11)/2 = (3y − 11)/1 = (3z − 19)/2, i.e. (x −
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