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KEAM 2018 Math Paper
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© examsnet.com
Question : 77
Total: 120
If
x
2
+
y
2
+
2
g
x
+
2
f
y
+
1
=
0
represents a pair of straight lines, then
f
2
+
g
2
is equal to
0
1
2
4
3
Validate
Solution:
Given equation of pair of straight lines is
x
2
+
y
2
+
2
g
x
+
2
f
y
+
1
=
0
since, the necessary and sufficient condition for pair of straight lines is
|
a
h
g
h
b
f
h
f
c
|
=
0
⇒
|
1
0
g
0
1
f
g
f
1
|
=
0
⇒
1
(
1
−
f
2
)
+
g
(
0
−
g
)
=
0
⇒
1
−
f
2
−
g
2
=
0
⇒
f
2
+
g
2
=
1
© examsnet.com
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