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et the foot of perpendicular from the point `A(4, 3,1)` on the plane `P : x – y + 2z + 3 = 0` be N. If `B(5,alpha,beta), alpha ,beta in ZZ ` is a point on plane P such that the area of the triangle ABN is `3sqrt 2` ,then `alpha^2+beta^2+alpha beta ` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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