Therefore
Aa + D = 0 or A =
D
a−
Bb + D = 0 or B =
D
b−
Cc + D = 0 or C =
D
c−
Substituting these values in the equation (1) of the
plane and simplifying, we get
x
y
z
a
b
c
+
+
 = 1 (1)
which is the required equation of the plane in the intercept form Example 19 Find the equation of the plane with intercepts 2, 3 and 4 on the x, y and
z-axis respectively Solution Let the equation of the plane be
x
y
z
a
b
c
+
+
 = 1