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3D Geometry question

2024 · 6 Apr · Shift 2 · Q54
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3D Geometry question

2024 · 6 Apr · Shift 2 · Q54

JEE MainMathematics3D GeometryNumerical+4 / −1
If the shortest distance between the lines x−λ3=y−2−1=z−11\frac{x-\lambda}{3}=\frac{y-2}{-1}=\frac{z-1}{1}3x−λ​=−1y−2​=1z−1​ and x+2−3=y+52=z−44\frac{x+2}{-3}=\frac{y+5}{2}=\frac{z-4}{4}−3x+2​=2y+5​=4z−4​ is 4430\frac{44}{\sqrt{30}}30​44​, then the largest possible value of ∣λ∣|\lambda|∣λ∣ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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