The equation of the plane containing the line `2x – y + z – 3 = 0, 3x + y + z = 5` and at a distance of `1/(sqrt(6))

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Q 1267234185.     The equation of the plane containing the line `2x – y + z – 3 = 0, 3x + y + z = 5` and at a distance of `1/(sqrt(6))` from the point `(2, 1, – 1)` is .
JEE 2005 Mains

HINT

Equation of plane containing the lines `(2x - y + z - 3) + λ (3x + y + z - 5) = 0`

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(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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