Find the equation of the plane through the line of intersection of the planes $x + y + z = 1$ and $2 x + 3 y + 4 z = 5$ which is perpendicular to the plane $x y + z = 0$ . Then find the distance of plane thus obtained from the point $A (1, 3, 6)$ .

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Find the equation of the plane through the line of intersection of the planes

x + y + z = 1

and

2 x + 3 y + 4 z = 5

which is perpendicular to the plane

x y + z = 0

. Then find the distance of plane thus obtained from the point

A (1, 3, 6)

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Question Text

Find the equation of the plane through the line of intersection of the planes

x + y + z = 1

and

2 x + 3 y + 4 z = 5

which is perpendicular to the plane

x y + z = 0

. Then find the distance of plane thus obtained from the point

A (1, 3, 6)

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