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

Question

Philoid · Accepted Answer

It is given that untercepts on the axes are equal

We know that, the equation of the plane whose intercepts on the coordinate axes a, b, c is given by the equation

Now we have a = b = c

So now let us substitute a in place of b and c

So we get

And it is given that (2, 4, 6) is on the plane so by substituting it we get

2 + 4 + 6 = a

A = 12

So the equation is x + y + z = 12