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Question
Mathematics
Under what condition do the planes bx - ay = n, cy - bz = l , az - cx = m intersect in a line?
Q. Under what condition do the planes bx - ay = n, cy - bz = l , az - cx = m intersect in a line?
2537
240
Three Dimensional Geometry
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A
a + b + c = 0
40%
B
a = b = c
0%
C
al + bm + cn = 0
40%
D
l + m + n = 0
20%
Solution:
The planes
b
x
−
a
y
=
n
,
cy
−
b
z
=
l
and
a
z
−
c
x
=
m
intersect in a line, if
a
l
+
bm
+
c
n
=
0
.