The correct option is D x+y+z=0
The equation of the plane containing the line x+1−3=y−32=z+21 is
a(x+1)+b(y−3)+c(z+2)=0⋯(i)
where −3a+2b+c=0⋯(ii)
As plane also contains point (0,7,−7), we have
⇒a(0+1)+b(7−3)+c(−7+2)=0
⇒a+4b−5c=0⋯(iii)
Solving (ii),(iii)
a−14=b−14=c−14=k (Let)
we get, a=k,b=k and c=k
putting in equation (i)
(x+1)+(y−3)+(z+2)=0
⇒x+y+z=0