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Byju's Answer
Standard XII
Mathematics
Equation of Tangent at a Point (x,y) in Terms of f'(x)
What curve or...
Question
What curve (or curves) does the equation
x
2
−
5
x
y
+
4
y
2
=
0
represent ?
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Solution
let solve the equation first,
x
2
−
5
x
y
+
4
y
2
=
0
x
2
−
4
x
y
−
x
y
+
4
y
2
=
0
x
(
x
−
4
y
)
−
y
(
x
−
4
y
)
=
0
(
x
−
y
)
(
x
−
4
y
)
=
0
→
x
=
y
→
x
=
4
y
there are two linear equation formed by the equation
so these two lines or curves represent the
eqautaion
x
2
−
5
x
y
+
4
y
2
=
0
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Similar questions
Q.
The equation
x
2
−
5
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y
+
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y
2
=
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represents two lines passing through the origin which are
Q.
Prove that the following equation represent two straight lines;
find also their point of intersection and the angle between them.
x
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Standard XII Mathematics
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