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JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

A point at a distance 3 from the point lying on the line joining the points and , has the coodinates

Answer: (A),(C)

Solution

Line has direction ratios , with length . Its direction cosines are . A point at distance 3 from on this line is

Q = P ± 3(Missing argument for \tfrac\tfrac13, Missing argument for \tfrac\tfrac23, -Missing argument for \tfrac\tfrac23) = (1, 1, 1) ± (1, 2, -2) = (2, 3, -1)\

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Question ID VK-109827