JEE Main 2024 Mathematics question
Let (α, β, γ) be the mirror image of the point (2, 3, 5) in the line (x − 1)/2 = (y − 2)/3 = (z − 3)/4. Then 2α + 3β + 4γ is equal to
Answer: (D)
Solution
Let the foot of the perpendicular from A(2, 3, 5) be (2λ + 1, 3λ + 2, 4λ + 3). The mirror image B(α, β,
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