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Byju's Answer
Standard XII
Mathematics
Derivative from First Principle
The angle bet...
Question
The angle between the pair of lines whose equation is
4
x
2
+
10
x
y
+
m
y
2
+
5
x
+
10
y
=
0
is
A
tan
−
1
(
3
/
8
)
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B
tan
−
1
(
3
/
4
)
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C
tan
−
1
2
√
25
−
4
m
(
m
+
4
)
,
m
∈
R
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D
none of these
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Solution
The correct option is
C
tan
−
1
2
√
25
−
4
m
(
m
+
4
)
,
m
∈
R
General equation of pair of straight line.
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
S
o
,
a
=
4
,
b
=
m
,
h
=
5
,
g
=
5
2
,
f
=
5
,
c
=
0
Angle
=
tan
−
1
⎡
⎢
⎣
2
(
h
2
−
a
b
)
1
2
|
a
+
b
|
⎤
⎥
⎦
=
tan
−
1
⎡
⎢
⎣
2
(
5
2
−
4
m
)
1
2
|
4
+
m
|
⎤
⎥
⎦
=
tan
−
1
⎡
⎢
⎣
2
(
25
−
4
m
)
1
2
|
4
+
m
|
⎤
⎥
⎦
Hence, this is the answer.
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