JEE Main 2022 Mathematics question
The line of shortest distance between the lines (x − 2)/0 = (y − 1)/1 = z/1 and (x − 3)/2 = (y − 5)/2 = (z − 1)/1 makes an angle with the plane P : ax − y − z = 0 (a > 0). If the image of the point (1, 1, −5) in the plane P is (, , ), then is equal to .
Answer: 3
Solution
The direction of the line of shortest distance is (0, 1, , 2, 1) = (−1, 2, −2). The angle with the plane P is , so . The normal
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