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KEAM 2018 Math Paper
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© examsnet.com
Question : 78
Total: 120
If q is the angle between the pair of straight lines
x
2
–
5
x
y
+
4
y
2
+
3
x
–
4
=
0
, then
t
a
n
2
θ
is equal to
9
16
16
25
9
25
21
25
25
9
Validate
Solution:
Given equation of straight line is
x
2
−
5
x
y
+
4
y
2
+
3
x
−
4
=
0
∴
tan
θ
=
|
2
√
(
−
5
2
)
2
−
4
5
|
=
|
2
√
25
4
−
4
5
|
=
2
5
×
√
9
4
=
2
5
×
3
2
=
3
5
⇒
tan
2
θ
=
9
25
© examsnet.com
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