Let α,β and γ be real numbers such that the system of linear equationsx+2y+3z=α4x+5y+6z=β7x+8y+9z=γ−1is consistent.Let P be the plane containing all those (α,β,γ) for which the above system of linear equations is consistent, and D be the square of the distance of the point (0,1,0) from the plane P.Then the value of D is

Let α,β and γ be real numbers such that the system of linear equati

1.	Let α,β and γ be real numbers such that the system of linear equationsx+2y+3z=α4x+5y+6z=β7x+8y+9z=γ−1is consistent.Let P be the plane containing all those (α,β,γ) for which the above system of linear equations is consistent, and D be the square of the distance of the point (0,1,0) from the plane P.Then the value of D is
Answer» Let $α, β$ and $γ$ be real numbers such that the system of linear equations $x + 2 y + 3 z = α$ $4 x + 5 y + 6 z = β$ $7 x + 8 y + 9 z = γ - 1$ is consistent. Let $P$ be the plane containing all those $(α, β, γ)$ for which the above system of linear equations is consistent, and $D$ be the square of the distance of the point $(0, 1, 0)$ from the plane $P .$ Then the value of $D$ is