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Find the distance of the point (2, 0, 4)...

Find the distance of the point (2, 0, 4) from the plane whose equation is `x + y - 2z =0.`

Text Solution

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Distance of a point `P(x_(1), y_(1), z_(1))` from a plane `Ax + By + Cz = D` is given by
`=abs((Ax_(1)+By_(1)+Cz_(1)-D)/(sqrt(A^(2)+B^(2)+C^(2))))`
`=abs((1xx2+1xx0-2xx4)/(sqrt(1+1+4)))`
`= abs((-6)/sqrt(6))=sqrt(6)`
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