121286 If the foot of the perpendicular from \((0,0,0)\) to the plane is \((1,2,2)\), then the equation of the plane is.

121287 The equation of the plane which passes through the point \((2,5,-8)\) and perpendicular to each of the planes \(2 x-3 y+4 z+1=0\) and \(4 x+y-\) \(2 \mathrm{z}+6=0\)

121288 The value of \(\lambda\) such that \(x-4=y-2=\frac{1}{2}(z-\lambda)\) lies in the plane \(2 x-4 y+z=7\), is:

121289 The equation of the plane containing the line \(\frac{\mathrm{x}-\mathrm{x}_1}{l}=\frac{\mathrm{y}-\mathrm{y}_1}{\mathrm{~m}}=\frac{\mathrm{z}-\mathrm{z}_1}{\mathrm{n}}\) is :
\(\mathbf{a}\left(\mathbf{x}-\mathbf{x}_1\right)+\mathbf{b}\left(\mathbf{y}-\mathrm{y}_1\right)+\mathbf{c}\left(\mathrm{z}-\mathrm{z}_1\right)=\mathbf{0}\) where

121286 If the foot of the perpendicular from \((0,0,0)\) to the plane is \((1,2,2)\), then the equation of the plane is.

121287 The equation of the plane which passes through the point \((2,5,-8)\) and perpendicular to each of the planes \(2 x-3 y+4 z+1=0\) and \(4 x+y-\) \(2 \mathrm{z}+6=0\)

121288 The value of \(\lambda\) such that \(x-4=y-2=\frac{1}{2}(z-\lambda)\) lies in the plane \(2 x-4 y+z=7\), is:

121289 The equation of the plane containing the line \(\frac{\mathrm{x}-\mathrm{x}_1}{l}=\frac{\mathrm{y}-\mathrm{y}_1}{\mathrm{~m}}=\frac{\mathrm{z}-\mathrm{z}_1}{\mathrm{n}}\) is :
\(\mathbf{a}\left(\mathbf{x}-\mathbf{x}_1\right)+\mathbf{b}\left(\mathbf{y}-\mathrm{y}_1\right)+\mathbf{c}\left(\mathrm{z}-\mathrm{z}_1\right)=\mathbf{0}\) where

121286 If the foot of the perpendicular from \((0,0,0)\) to the plane is \((1,2,2)\), then the equation of the plane is.

121287 The equation of the plane which passes through the point \((2,5,-8)\) and perpendicular to each of the planes \(2 x-3 y+4 z+1=0\) and \(4 x+y-\) \(2 \mathrm{z}+6=0\)

121288 The value of \(\lambda\) such that \(x-4=y-2=\frac{1}{2}(z-\lambda)\) lies in the plane \(2 x-4 y+z=7\), is:

121289 The equation of the plane containing the line \(\frac{\mathrm{x}-\mathrm{x}_1}{l}=\frac{\mathrm{y}-\mathrm{y}_1}{\mathrm{~m}}=\frac{\mathrm{z}-\mathrm{z}_1}{\mathrm{n}}\) is :
\(\mathbf{a}\left(\mathbf{x}-\mathbf{x}_1\right)+\mathbf{b}\left(\mathbf{y}-\mathrm{y}_1\right)+\mathbf{c}\left(\mathrm{z}-\mathrm{z}_1\right)=\mathbf{0}\) where

121286 If the foot of the perpendicular from \((0,0,0)\) to the plane is \((1,2,2)\), then the equation of the plane is.

121287 The equation of the plane which passes through the point \((2,5,-8)\) and perpendicular to each of the planes \(2 x-3 y+4 z+1=0\) and \(4 x+y-\) \(2 \mathrm{z}+6=0\)

121288 The value of \(\lambda\) such that \(x-4=y-2=\frac{1}{2}(z-\lambda)\) lies in the plane \(2 x-4 y+z=7\), is:

121289 The equation of the plane containing the line \(\frac{\mathrm{x}-\mathrm{x}_1}{l}=\frac{\mathrm{y}-\mathrm{y}_1}{\mathrm{~m}}=\frac{\mathrm{z}-\mathrm{z}_1}{\mathrm{n}}\) is :
\(\mathbf{a}\left(\mathbf{x}-\mathbf{x}_1\right)+\mathbf{b}\left(\mathbf{y}-\mathrm{y}_1\right)+\mathbf{c}\left(\mathrm{z}-\mathrm{z}_1\right)=\mathbf{0}\) where