Let a plane a x+b y+c z+1=0,w h e r ea ,...

Let a plane `a x+b y+c z+1=0,w h e r ea ,b ,c` are parameters, make an angle `60^0` with the line `x=y=z ,45^0` with the line `x=y-z=0` and`theta` with the plane `x=0.` The distance of the plane from point `(2,1,1)` is 3 units. Find the value of `theta` and the equation of the plane.

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Let a plane `a x+b y+c z+1=0,w h e r ea ,b ,c` are parameters, make an angle `60^0` with the line `x=y=z ,45^0` with the line `x=y-z=0` and`theta` with the plane `x=0.` The distance of the plane from point `(2,1,1)` is 3 units. Find the value of `theta` and the equation of the plane.

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