QJEEAdv03Ma3e18: JEE Advanced 2003 Mathematics - Class 12 JEEAdv03Ma3e18 Solution: (i) Find the equation of the plane passing through the points…

(i) Find the equation of the plane passing through the points $(2, 1, 0), (5, 0, 1)$ and $(4, 1, 1).$
(ii) If $P$ is the point $(2, 1, 6)$ then find the point $Q$ such that $PQ$ is perpendicular to the plane in (i) and the mid point of $PQ$ lies on it.