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3D Geometry question

2023 · 24 Jan · Shift 2 · Q38

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JEE Main
Mathematics
3D Geometry
2023 · 24 Jan · Shift 2 · Q38

3D Geometry question

2023 · 24 Jan · Shift 2 · Q38

JEE MainMathematics3D GeometryNumerical+4 / −1

If the shortest between the lines

{{x + \sqrt 6 } \over 2} = {{y - \sqrt 6 } \over 3} = {{z - \sqrt 6 } \over 4}

and

{{x - \lambda } \over 3} = {{y - 2\sqrt 6 } \over 4} = {{z + 2\sqrt 6 } \over 5}

is 6, then the square of sum of all possible values of

\lambda

is :

Numerical answer

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