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Mathematics
Mathematics
Problem
1. Find the values of
k
k
k
for which the line
(
k
−
3
)
x
−
(
4
−
k
2
)
y
+
k
2
−
7
k
+
6
=
0
(k-3) x-\left(4-k^{2}\right) y+k^{2}-7 k+6=0
(
k
−
3
)
x
−
(
4
−
k
2
)
y
+
k
2
−
7
k
+
6
=
0
is (a) Parallel to the
x
x
x
-axis, (b) Parallel to the
y
y
y
-axis, (c) Passing through the origin.
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