Consider the plane x + y − z − 1 = 0, the point P(1, 2, −3) and the line
Answer the following questions.
(i) Equation of the plane containing the line L and the point P(1, 2, −3) is
(A) x + 3y − 7 = 0
(B) 3x + y − 5 = 0
(C) x − 3y + 5 = 0
(D) x + 3y − z − 7 = 0
(ii) The distance between the points on the line L which are at a distance of 2/√3 from the plane is
(A) 4√3
(B) 2/√3
(C) √104
(D) 2√3
(iii) If Q is a point on the line L such that PQ is parallel to the plane, then the coordinates of Q are
(A) (−8, 5, −9)
(B) (4, 1, 7)
(C) (−5, 4, −5)
(D) (10, −1, 15)
