Find the equation of the plane through (3, 4, –1) which is parallel to the plane

given equation of the plane is


…… (1)


We know that the equation of a plane parallel to given plane (1) is


…… (2)


As given that, plane (2) is passing through the point so it satisfy the equation (2),



(3)(2) + (4)( – 3) + ( – 1)(5) + k = 0


6 – 12 – 5 + k = 0


k = 11


put the value of k in equation (2),



So, the equation of the required plane is,


2