JEE Main 2024 Mathematics question

MathematicsVector AlgebraJEE Main 2024

Let O be the origin, and M and N be the points on the lines and respectively such that MN is the shortest distance between the given lines. Then is equal to .

Answer: 9

Solution

Take M(4λ + 5, λ + 4, 3λ + 5) and N(12μ − 8, 5μ − 2, 9μ − 11). Requiring MN perpendicular to both

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Question ID VK-016827