Let the lines L_1: r = i +2 j +3 k + (2 i +3 j +4 k ), R and L_2: r = (4 i + j )+ (5 i +2 j + k ), R ,...

Question

Let the lines L_1: r = i +2 j +3 k + (2 i +3 j +4 k ), R and L_2: r = (4 i + j )+ (5 i +2 j + k ), R , intersect at the point R. Let P and Q be the points lying on lines L_1 and L_2, respectively, such that | PR | = 29 and | PQ | = 47 3 . If the point P lies in the first octant, then 27(QR)^2 is equal to

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(2)

JEE Main 2026 Mathematics question

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