JEE Main 2024 Mathematics question
The square of the distance of the image of the point (6, 1, 5) in the line (x − 1)/3 = y/2 = (z − 2)/4, from the origin is .
Answer: 62
Solution
A point on the line is M(3λ + 1, 2λ, 4λ + 2). With A(6, 1, 5), AM ⊥ the direction (3, 2, 4): 3(3λ − 5) + 2(2λ − 1) + 4(4λ − 3) = 0, so 29λ =
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