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Byju's Answer
Standard XII
Mathematics
Higher Order Derivatives
If 2x2-3xy+...
Question
If
2
x
2
−
3
x
y
+
y
2
+
x
+
2
y
−
8
=
0
then
d
y
d
x
=
A
3
y
−
4
x
−
1
2
y
−
3
x
+
2
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B
3
y
+
4
x
+
1
2
y
+
3
x
+
2
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C
3
y
−
4
x
+
1
2
y
−
3
x
−
2
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D
3
y
−
4
x
+
1
2
y
+
3
x
+
2
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Solution
The correct option is
A
3
y
−
4
x
−
1
2
y
−
3
x
+
2
2
x
2
−
3
x
y
+
y
2
+
x
+
2
y
−
8
=
0
So
d
y
d
x
4
x
−
3
x
y
′
−
3
y
+
2
y
.
y
′
+
1
+
2
y
′
=
0
y
′
(
−
3
x
+
2
y
+
2
)
+
(
4
x
−
3
y
+
1
)
=
0
y
′
=
−
(
4
x
−
3
y
+
1
)
−
3
x
+
2
y
+
2
y
′
=
−
4
x
+
3
y
−
1
2
y
−
3
x
+
2
y
′
=
3
y
−
4
x
−
1
2
y
−
3
x
+
2
Suggest Corrections
2
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−
3
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+
y
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+
x
+
2
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−
8
=
0
t
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d
y
d
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=