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JEE Main 2026 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2026

Let the image of the point P(1, 6, a) in the line , b>0, be . If S(α, β, γ), α>0, is the point on L such that the distance of S from the foot of perpendicular from the point P on L is 2√14, then α+β+γ is equal to:

Answer: (C)

Solution

The midpoint of P and its image lies on L; matching x and y gives a=3. Perpendicularity gives cb=12, and the z-condition gives c=2b−2, so b=3,

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Question ID VK-015649