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Mathematics
Mathematics
Problem
Transform
12
x
2
+
7
x
y
−
12
y
2
−
17
x
−
3
y
−
7
=
0
12x^2 + 7xy - 12y^2 - 17x - 3y - 7 = 0
12
x
2
+
7
x
y
−
12
y
2
−
17
x
−
3
y
−
7
=
0
to rectangular axes through the point
(
1
,
−
1
)
(1, -1)
(
1
,
−
1
)
inclined at an angle
tan
−
1
(
4
3
)
\tan^{-1}\left(\frac{4}{3}\right)
tan
−
1
(
3
4
)
to the original axes.
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