Find the equation of plane which cuts equal intercepts from the axes a

1.	Find the equation of plane which cuts equal intercepts from the axes and passes through the point (2, 3, 5).
Answer» Let the plane cuts intercept of 'a' unit on axes. So, equation of the plane be x/a + y/b + z/a = 1 x + y + z = a If this plane passes through the point P(2,3,5) then 2 + 3 + 5 = a a = 10 Hence, require equation of plane is x + y + z = 10

Find the equation of plane which cuts equal intercepts from the axes and passes through the point (2, 3, 5).

Answer»

Let the plane cuts intercept of 'a' unit on axes.

So, equation of the plane be

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

x + y + z = a

If this plane passes through the point P(2,3,5) then

2 + 3 + 5 = a

a = 10

Hence, require equation of plane is x + y + z = 10