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3D Geometry question

2010 · Shift 1 · Q41
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3D Geometry question

2010 · Shift 1 · Q41

JEE AdvancedMathematics3D GeometryNumerical+4 / −1
If the distance between the plane Ax−2y+z=dAx-2y+z=dAx−2y+z=d and the plane containing the lines x−12=y−23=z−34{{x - 1} \over 2} = {{y - 2} \over 3} = {{z - 3} \over 4}2x−1​=3y−2​=4z−3​ and x−23=y−34=z−45 {{x - 2} \over 3} = {{y - 3} \over 4} = {{z - 4} \over 5}\,3x−2​=4y−3​=5z−4​ is 6  ,\sqrt 6 \,\,,6​, then ∣d∣\left| d \right|∣d∣ is ‾\underline{\hspace{2cm}}​.
Numerical answer
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