Question

Match the items of Column I with those of Column II.

Column I	Column II
(A) The equation of the plane which is at a distance 10 from the origin, and whose normal has DRs (3, 2, 6) is	(p) 2x + 3y + 2√3z + 11 = 0
(B) The equation of the plane which is at a distance of 5 units from the origin and is perpendicular to the vector (2, −3, 6) is	(q) 3x + 2y + 6z = 70
(C) The equation of the plane which is at a distance of one unit from the plane 2x + 3y + 2√3z + 6 = 0 is	(r) 2x + 3y + 2√3z + 1 = 0
(D) The equation of the plane passing through the point (1, 4, −2) and parallel to the plane 2x − y + 3z = 0 is	(s) 2x − y + 3z + 8 = 0
	(t) 2x − 3y + 6z = 35

Answer 1

Correct match  (A) → (q); (B) → (t); (C) → (p), (r); (D) → (s)

(A) - (q) 3x + 2y + 6z = 70

(B) - (t) 2x - 3y + 6z = 35

(C) - (p),(r) 

(p) 2x + 3y + 2√3z + 11 = 0

(r) 2x + 3y + 2√3z + 1 = 0

(D) - (s) 2x - y + 3z + 8 = 0