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Byju's Answer
Standard X
Mathematics
Equation of a Line Parallel to a Straight Line
the distance ...
Question
the distance between the pair of parallel lines represented x^2+ax+b=0 is?
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Solution
dear student
i
f
l
i
n
e
s
a
r
e
x
+
c
1
=
0
a
n
d
x
+
c
2
=
0
d
i
s
tan
c
e
b
e
t
w
e
e
n
t
h
e
m
=
c
1
-
c
2
(
x
+
c
1
)
(
x
+
c
2
)
=
0
x
2
+
(
c
1
+
c
2
)
x
+
c
1
c
2
=
0
c
o
m
p
a
r
i
n
g
t
o
x
2
+
a
x
+
b
=
0
c
1
+
c
2
=
a
c
1
c
2
=
b
c
1
-
c
2
=
(
c
1
+
c
2
)
2
-
4
c
1
c
2
=
a
2
-
4
b
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Similar questions
Q.
The distance between the pair of parallel lines represented by
x
2
+
4
x
y
+
4
y
2
+
3
x
+
6
y
−
4
=
0
is ___ units
Q.
Let
P
1
,
P
2
,
P
3
be the perpendicular distances between pair of parallel lines represented by
x
2
−
3
x
−
4
=
0
,
y
2
−
5
y
+
6
=
0
,
4
x
2
+
20
x
y
+
25
y
2
=
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respectively then
Q.
If the distance between the pair of parallel lines
x
2
+
2
x
y
+
y
2
−
8
a
x
−
8
a
y
−
9
a
2
=
0
is
25
√
2
, then
a
is
Q.
Assertion :If
x
2
+
6
x
y
+
9
y
2
+
4
x
+
12
y
−
5
=
0
represents two parallel lines, then distance between them is
6
√
10
Reason: If
a
x
2
+
2
h
x
y
+
b
y
2
+
2
g
x
+
2
f
y
+
c
=
0
represents a pair of straight lines, then the distance between them is given by
√
g
2
−
a
c
a
(
a
+
b
)
Q.
The condition for the equation
x
2
+
(
λ
+
μ
)
x
y
+
λ
μ
y
2
+
x
+
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y
=
0
to represent pair of parallel lines and the distance between them are
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