Question

The equation of the plane which bisects the line joining the points (-1, 2, 3) and (3, -5, 6) at right angle, is

• A.
  
• B.
  
• C.
  
• D.
  

Answer 1

The correct option is C

According to question,4x-7y+3z=k....
Also, plane (i) passes through
$(\frac{-1+3}{2},\frac{2-5}{2},\frac{3+6}{2}),4+\frac{21}{2}+\frac{27}{2}=k\Rightarrow k=28$
Therefore, required equation is
4x - 7y + 3z = 28