1.

Let P_(1):x+y+2z-3=0 and x-2y+z=4 be two planes. Also, let A(1,3,4) and B(3,2,7) be two points in space. The equation of plane which passes through line of intersection of P_(1) and P_(2)=x-2y+z=4 be two planes. Also, let A(1,3,4) and B(3,2,7) be two points in space. The equation of plane which passes through line of intersection of P_(1)and P_(2) and upon which length of projection of the line segment AB is the greatest, is

Answer»

`2x+3y+z+4=0`
`3x-3y+4z-11=0`
`x+3y+z+2=0`
`3y+z+1=0`

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