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JEE Main 2025 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2025

Let A and B be two distinct points on the line L : . Both A and B are at a distance from the foot of perpendicular drawn from the point (1, 2, 3) on the line L. If O is (origin) then is equal to –

Answer: (2)

Solution

Foot of perpendicular P(3,5,9). Solving for λ gives A(9,9,5), B(-3,1,13). OA.OB = -27+9+65 = 47

Question ID VK-002735