JEE Advanced Mathematics question
Given two straight lines whose equations are
= = and = = .
STATEMENT-1: The line of shortest distance between the given lines is perpendicular to the plane . STATEMENT-2: The direction ratios of the normal to the plane are .
Answer: (D)
Solution
*(Figure: the two skew lines with d.r. and , the shortest-distance segment between them, and the plane with normal .)*
- **Statement-1:** The line of shortest distance is perpendicular to both lines, so its direction is
(1, -2, 1) × (7, -6, 1) = (-2 + 6,\ 7 - 1,\ -6 + 14) = (4, 6, 8)
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