Jee Main
3d Geometry
JEE Main 2021 (Online) 27th July Evening Shift
MCQ+4 / -12021
For real numbers \(\alpha\) and \(\beta\) \(\ne\) 0, if the point of intersection of the straight lines
\({{x - \alpha } \over 1} = {{y - 1} \over 2} = {{z - 1} \over 3}\) and \({{x - 4} \over \beta } = {{y - 6} \over 3} = {{z - 7} \over 3}\), lies on the plane x + 2y \(-\) z = 8, then \(\alpha\) \(-\) \(\beta\) is equal to :
\({{x - \alpha } \over 1} = {{y - 1} \over 2} = {{z - 1} \over 3}\) and \({{x - 4} \over \beta } = {{y - 6} \over 3} = {{z - 7} \over 3}\), lies on the plane x + 2y \(-\) z = 8, then \(\alpha\) \(-\) \(\beta\) is equal to :