Question:
The plane which bisects the line joining the points $(4,-2,3)$ and $(2,4,-1)$ at right angles also passes through the point:
Correct Option: , 3
Solution:
Direction ratios of normal to the plane are $<1,-3,2>$.
Plane passes through $(3,1,1)$.
Equation of plane is,
$1(x-3)-3(y-1)+2(z-1)=0$
$\Rightarrow x-3 y+2 z-2=0$