Let A and B be two distinct points on the line L: (x-6)/3 = (y-7)/2 = (z-7)/-2. Both A and B are at a distance 2√(17) from the foot of the perpendicular drawn from the point (1, 2, 3) to the line L. If O is the origin, then OA · OB is equal to:

Three Dimensional Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q134

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumThree Dimensional Geometry249× since 2002

Let A and B be two distinct points on the line L: (x-6)/3 = (y-7)/2 = (z-7)/-2. Both A and B are at a distance 2\sqrt{17} from the foot of the perpendicular drawn from the point (1, 2, 3) to the line L. If O is the origin, then OA \cdot OB is equal to:

Three Dimensional Geometry: JEE Main 2025 Mathematics question

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Three Dimensional Geometry: JEE Main 2025 Mathematics question

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