JEE Main 2026 Mathematics question
If the distance of the point (a,2,5) from the image of the point (1,2,7) in the line is 4, then the sum of all possible values of a is equal to:
Answer: (C)
Solution
The image of (1,2,7) in the given line is (3,4,5). Setting the distance from (a,2,5) to this point equal to 4 gives a=3±2√3, whose sum is 6.