Find the equation of the plane passing through the point (2, 4, 6) and making equal intercepts on the coordinate axes.

Explanation

Any equation of the plane intercepts on the coordinate axes area a,b and c is given by

`x/a+y/b+z/c=1`

As we given here, `a=b=c`

Then,

`x/a+y/a+z/a=1`

`x+y+z=a ldots` (i)

As the plane passes through the given points (2,4,6)

We have,

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