KEAM 2011 Math Paper

The equation of plane passing through the point (1,2,3) and parallel to 3x−2y+4z=5 is
3x−2y+4z=λ.....(i)
the plane (i) is passes through the point (1,2,3)
3⋅1−2⋅2+4⋅3=λ
λ=11
From Eq. (i), 3x−2y+4z=11
which is the required equation of plane.