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JEE Main 2022 Mathematics question

MathematicsVector AlgebraJEE Main 2022

Let be the line in xy-plane with x and y intercepts 1/8 and respectively and be the line in zx-plane with x and z intercepts −1/8 and respectively. If d is the shortest distance between the line and , then is equal to .

Answer: 51

Solution

passes through (1/8, 0, 0) and (0, , 0), so its direction is , , 0). passes through (−1/8, 0, 0) and (0, 0, ), with direction , 0, 8). Then $

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Question ID VK-024923