JEE Main 2019 Mathematics question
The plane which bisects the line segment joining the points (−3, −3, 4) and (3, 7, 6) at right angles, passes through which one of the following points?
Answer: (C)
Solution
Plane 3x + 5y + z = 15 through the midpoint (0, 2, 5); (4, 1, −2) satisfies it.