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Byju's Answer
Standard XII
Mathematics
Equation of a Plane : Intercept Form
80. By which ...
Question
80. By which angle the coordinate axes must be rotated tomake equation 5x^2 +8xy +5y^2+3x +2y+5 freefrom 'xy' term?
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Q.
The equation of a pair of straight lines is
a
x
2
+
2
h
x
y
+
b
y
2
=
0
. By what angle must the axes be rotated so that the term containing
x
y
in the equation may be removed?
Q.
Through what angle should the axes be rotated so that equation
a
x
2
−
2
√
3
x
y
+
7
y
2
=
10
(
x
,
y
)
may be changed to
3
x
2
+
5
y
2
=
5
(
x
1
,
y
1
)
Q.
The angle of rotation of axes in order to eliminate
x
y
term in the equation
x
y
=
c
2
is
Q.
The transformed equation of
3
x
2
+
3
y
2
+
2
x
y
=
2
when the coordinate axes are rotated through an angle
45
∘
is
Q.
The transformed equation of
3
x
2
+
3
y
2
+
2
x
y
=
2
when the coordinate axes are rotated through an angle of
45
0
is
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Standard XII Mathematics
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