Mathematics - Facts, Concepts and Questions

1.    The equation of the plane through  (2, 3, – 4) and (1 – 1, 3) and parallel to x-axis is     (a)    7y – 4z – 5 = 0    (b)    4y – 7z – 5 = 0     (c)    4y + 7z + 5 = 0    (d)    7y + 4z – 5 = 0 Ans. 1 (d) 2.     If from a paint P (a, b, c) perpendicular PA P B and to yz and zx planes, then the equation of the plane OAB is     (a)    bcx + cay + abz = 0    (b)    bcx + cay – abz = 0     (b)    bcx – cay + abz = 0    (d)    – bcx + cay + abz = 0 Ans. 2 (b) 3.    The equation of the plane which bisects the line joining the point (3, 2, 2), (5, 4, 6) at right angles  is     (a)    x + y + 2z – 15 = 0    (b)    x + 2y + z – 15 ...