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`3sqrt(2)x-4y-3z=7``4sqrt(2)x+7y+z=2``sqrt(2)x+y+z=2``sqrt(2)x-y-z=2`

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CSolution :

Let plane make angle `theta` with z-axis. <br> `therefore cos^(2)45^(@) + cos^(2)60^(@)+cos^(2)theta=1` <br> `therefore 1/2+1/4+cos^(2)theta=1` <br> `costheta=1/2` <br> `rArr theta=60^(@)` <br> So, equation of plane is <br> `(x-sqrt(2))/sqrt(2) +(y+1)/2+(z-1)/2=0` <br> `rArr x/sqrt(2)+y/2+z/2=1` <br> `rArr sqrt(2)x+y+z=2`