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JEE Main 2022 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2022

Let a line having direction ratios 1, −4, 2 intersect the lines (x − 7)/3 = (y − 1)/−1 = (z + 2)/1 and x/2 = (y − 7)/3 = z/1 at the points A and B. Then is equal to .

Answer: 84

Solution

Let , , ) and , , ). The direction ratios of AB, (, , ), are

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Question ID VK-024153