question_answer

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? [JEE Main Online Paper (Held On 10-Jan-2019 Evening]

A) (2, 1, 3)                        

B) (4, -1, 2)

C) (4, 1, -2)           

D)                  (-2, 3, 5)

Correct Answer: C

Solution :

Mid-point of AB (0, 2, 5) Equation of plane \[3\left( x-0 \right)+5\left( y-2 \right)+1\left( z-5 \right)=0\] \[\Rightarrow \,\,\,\,3x+5y+z=15\] Hence option satisfy the equation of plane