If the planes λx + 3y - 7z - 1 = 0 and 5x + 6y - μz = 0 are parallel, then the integral part of λ + μ (i.e., λ + μ) is
(A) 15
(B) 17
(C) 14
(D) 16
Correct option is (D) 16
Explanation :
The planes are parallel. So
λ/5 = 3/6 = -7/- μ
λ = 5/2, μ = 14
Therefore, [λ + μ] = [5/2 + 14] = [32/2] = 16
