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EAMCET Engineering 2001 Solved Paper
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© examsnet.com
Question : 118
Total: 200
If one of the lines of pair of straight lines
a
x
2
+
2
h
x
y
+
b
y
2
=
0
bisects the angle between the coordinate axes, then
a
2
+
b
2
=
h
2
(
a
+
b
)
2
=
4
h
2
a
2
+
b
2
=
4
h
2
(
a
+
b
)
2
=
h
2
Validate
Solution:
The given pair of straight lines is
a
x
2
+
2
h
x
y
+
b
y
2
=
0
. . . (i)
∴
m
1
+
m
2
=
−
2
h
b
and
m
1
m
2
=
a
b
Here,
m
1
=
tan
45
∘
=
1
Then, the equation of the line is
y
=
x
.
We have,
⇒
a
x
2
+
2
h
x
2
+
b
x
2
=
0
⇒
a
+
2
h
+
b
=
0
⇒
a
+
b
=
−
2
h
(
a
+
b
)
2
=
4
h
2
© examsnet.com
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