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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 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 1 . If the distance of the point (6, – 6, 4) from the plane P is 3 6 , then a 4 + b 2 is equal to

1. 32
2. 85
3. 25
4. 48

Correct answer: 32

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