For {\a}, {\b} \in {\Z} and | {\a}- {\b}| \leq 10, let the angle between the plane {\P}: {\ax}+ {\y}- {\z}= {\b} and the line 1: {\x}-1= {\a}- {\y}= {\z} +1 be \cos ^{-1} (\frac{1}{3}). If the distance of the point (6,-6,4) from the plane P is 3 \sqrt{6}, then {\a}^4+ {\b}^2 is equal to [8-Apr-2023 shift 2]

JEE Mains 8-Apr-2023 Shift 2 Solved Paper

Section: Mathematics

Question : 11 of 90

Marks: +1, -0

For a,b∈Z and |a−b|≤10, let the angle between the plane P:ax+y−z=b and the line 1:x−1=a−y=z +1 be cos−1(‌

). If the distance of the point (6,−6,4) from the plane P is 3√6, then a4+b2 is equal to

[8-Apr-2023 shift 2]

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