Question
Mathematics Question on Distance of a Point from a Plane
For a, b ∈ Z and |a - b| ≤ 10, let the angle between the plane P: ax +y-z = b and the line l : x-1= a-y = z+1 be cos-1(1/3). If the distance of the point (6, -6, 4) from the plane P is 3√6, then a4 + b² is equal to
A
25
B
32
C
48
D
85
Answer
32
Explanation
Solution
The correct option is(B): 32