JEE Mains 2024 30 Jan Shift 2

Question

Let a line passing through the point (-1,2,3) intersect the lines L1: x-1/3 = y-2/2 = z+1/-2 at M (alpha,beta,gamma) and L2: x+2/-3 = y-2/-2 = z-1/4 at N (a,b,c). Then the value of (alpha+beta+gamma)^2/ (a+b+c)^2 equals

Answer 1

Answer: 196 

M(3λ + 1, 2λ + 2, –2λ–1) 

∴ α + β + γ = 3λ + 2