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JEE Main 2012 Mathematics question

MathematicsVector AlgebraJEE Main 2012

Statement 1: The shortest distance between the lines and is . Statement 2: The shortest distance between two parallel lines is the perpendicular distance from any point on one of the lines to the other line.

Answer: (2)

Solution

The lines are parallel (directions (2, −1, 2) and (4, −2, 4)). By Statement 2 (true), the distance is that from (1, 1, 1) to the first line: $Missing argument for \frac\frac{|(1, 1, 1)×(2, -1,

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Question ID VK-103622