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JEE Main 2024 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2024

Let P be the point (10, −2, −1) and Q be the foot of the perpendicular drawn from the point R(1, 7, 6) on the line passing through the points (2, −5, 11) and (−6, 7, −5). Then the length of the line segment PQ is equal to .

Answer: 13

Solution

The line through (2, −5, 11) has direction (2, −3, 4). The foot from R(1, 7, 6) is at t = (R −

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Question ID VK-011756